What is the volume of a sphere with a diameter of 49.3 cm, rounded to the nearest
tenth of a cubic centimeter?

Answers

Answer 1

Answer:

62739.3 cm3

Step-by-step explanation:

Volume of a Sphere:

V=43πr3V=\frac{4}{3}\pi r^3V=34​πr3

radius=diameter2=49.32=24.65\text{radius} = \frac{\text{diameter}}{2} = \frac{49.3}{2}=24.65radius=2diameter​=249.3​=24.65

centimeters

Plug in:\text{Plug in:}Plug in:

43π(24.65)3\frac{4}{3}\pi (24.65)^334​π(24.65)3

62739.258293562739.258293562739.2582935

Use calculator

≈62739.3 cm3\approx 62739.3\text{ cm}^3≈62739.3 cm3

Round to the nearest tenth


Related Questions

What is this pls help me 1/3 times 3/7

Answers

Answer:

2/21

Step-by-step explanation:

2/21 is the answer...........that is the fraction......

x+1/3=3/7

x=3/7-1/3

LCM=21

x=9/21-7/21

x=2/21

If the radius of a cylinder is 3 centimeters, then the area of one of the circular bases is 18.84 square centimeters. True False

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

To calculate the area of a circle you need to multiply the radius by itself, then multiply that number by [tex]\pi[/tex].

In this case, our radius is 3, so we multiply 3 × 3 × [tex]\pi[/tex] (which can be estimated as 3.14)

3×3 is 9

9×3.14 is 28.26

28.26≠18.84

So, the correct answer is false. Hope this helps ^.^

Can somebody please help me out please my grads are bad

Answers

Triangle A-Right
Triangle B-Right
Triangle C-Obtuse
Triangle D-Acute

Write an equation which has 8 as its solution.

Answers

Answer:

look at the picture i sent......


Find the missing side of each triangle. Round your answers to the nearest tenth if necessary

Answers

Answer:

5. 10 cm

6. 12 in

7. 5 mi

8. 13 cm

Step-by-step explanation:

5. 6² + 8² = x²

36 + 64 = x

36 + 64 = 100

√100 = 10

6. 15² - 9² = x²

225 - 81 = 144

√144 = 12

7. 3² + 4² = x²

9 + 16 = x

9 + 16 = 25

√25 = 5

8. 12² + 5² = x²

144 + 25 = x

144 + 25 = 169

√169 = 13

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

522 m^2

Step-by-step explanation:

I've circles the numbers that you actually need to solve this problem.

First, find the area of the bigger rectangle by multiplying the length and width.

24*21=504

Then find the area of the smaller rectangle the same way

3*6=18

then add them to get the total area

504+18=522

522 m^2

Abel wants to go on a trip around the world so he determines a budget for a month long trip in 14 months. If Abel determines the following cost, how much would he need to save a month in order to afford the trip?

Travel: $1,383.12
Food: $613.05
Hotel: $2,369.72
Other: $816.82

Answers

just add it up & divide it by 14.

What is the solution to the system of equations?
y = x +3
X=-2

Answers

Answer: (-2, 11/6)

Step-by-step explanation:

A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L, end text. Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml. She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml. Norah wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.

Required:
Calculate the test statistic for Norah's test.

Answers

Answer:

The test statistic for Norah's test is [tex]t = -2[/tex]

Step-by-step explanation:

Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.

This means that at the null hypothesis we test if the sample mean is 500 ml, that is:

[tex]H_0: \mu = 500[/tex]

At the alternate hypothesis, we test if it is differente than 500 ml, that is:

[tex]H_a: \mu \neq 500[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

500 is tested at the null hypothesis:

This means that [tex]\mu = 500[/tex]

She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.

This means that [tex]n = 16, X = 497, s = 6[/tex]

Calculate the test statistic for Norah's test.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{497 - 500}{\frac{6}{\sqrt{16}}}[/tex]

[tex]t = -2[/tex]

The test statistic for Norah's test is [tex]t = -2[/tex]

Answer: -2

Step-by-step explanation: Khan

PLS HELP I DONT KNOW WHAT TO DO.​

Answers

Answer: 36 and 22 A=396

Step-by-step explanation:

half of 1 diagonal is 18, so the whole diagonal is 36

the other diagonal half is 11 so the whole is 22

put 36 and 22 into the boxes

then solve

[tex]A=\frac{1}{2} (36*22)\\A=396[/tex]

Answer:

A = 99 in²

Step-by-step explanation:

Using the given formula with d₁ = 18 and d₂ = 11 , then

A = [tex]\frac{1}{2}[/tex] × 18 × 11 = 9 × 11 = 99 in²


Suppose a city with population 900,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 19 years

Answers

Answer:

Future population in 19 years = 3,254,580 people (Approx.)

Step-by-step explanation:

Given:

Current population of city = 900,000

Growth rate of population = 7%

Number of year = 19

Find:

Future population in 19 years

Computation:

A = P[1+r]ⁿ

Future population = Current population[1+g]ⁿ

Future population in 19 years = 900,000[1+7%]¹⁹

Future population in 19 years = 900,000[1+0.07]¹⁹

Future population in 19 years = 900,000[1.07]¹⁹

Future population in 19 years = 900,000[3.6162]

Future population in 19 years = 3,254,580

Future population in 19 years = 3,254,580 people (Approx.)

Plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value. true of false

please I need help

Answers

Put the fractions into your calculator to get a number not a fraction, then just make a normal number line

Donna wants to rent a boat and spend less than $43. The boat costs $8 per hour, and Donna has a discount coupon for $5 off. What are the possible numbers
of hours Donna could rent the boat?
Use t for the number of hours.

Answers

Answer:

I have on idea?‽?????? sorry

What is the mixed number form of 17/2 simplify the answer if possible hurry

Answers

Answer:

8 1/2

Step-by-step explanation:

17 goes into 2 8 times with a remainder of 1

so you get 8 1/2

Katie could already play five songs on her harp. She decided to learn to new songs each week. If S = songs and W = weeks, which equation expresses her goals?

Answers

Answer:

she would have to record a the amount of songs She did every week

Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.​

​chocolate cupcakes 2
​pistachio cupcakes ​ 1
​banana cupcakes ​ 5
​pumpkin cupcakes ​ 6

​​Considering this data, how many of the next 21 cupcakes sold would you expect to be pumpkin cupcakes?​

Answers

Answer:

pumpkin because it got the most sold

Answer:

9

Step-by-step explanation:

Knowing that

pumpkin = 6

Total =

​chocolate cupcakes 2 + ​pistachio cupcakes ​ 1 + ​banana cupcakes ​ 5 +​pumpkin cupcakes ​ 6

Thus, 2 + 1 + 5 + 6 = 14

Cross multiply

[tex]\frac{6}{14}=\frac{x}{21}[/tex]

6 * 21 = 126

126/14 = 9

Hence, next 21 cupcakes sold that will be pumpkin cupcakes will 9 pumpkin cupcake

[RevyBreeze]

Help me please? I’ll mark brainliest.

Answers

Answer:

A = 6 units

Step-by-step explanation:

6 - 2 = 4

the y-intercept stays the same

the x-intercept changes

Someone plz help me with this it’s due today

Answers

Answer:

10. n>13

11. n<6

12. n<_96

13. n>_50

Step-by-step explanation:

the line should be under the greater/less than signs...my phone just doesn't allow me to do that

The base of a triangle is 5 cm greater than the height. The area is 18 cm. Find the height and the
length of the base.
The height of the triangle is
cm.
The base of the triangle is
cm.

Answers

Answer:

h = 4cm

b = 9cm

Step-by-step explanation:

Due soon pls help - who ever answers get brainiest !

Answers

Answer:

D if it helps

Step-by-step explanation:

The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?

Answers

Answer:

25

Step-by-step explanation:

40/8 = 5

3:5 so u do 5x5 which is 25

brief explanation and hoped it helped xoxo

Answer:

22 girls

Step-by-step explanation:

if there are 40 students in all and the ratio is 3:5 that means there are 2 more girls than boys and 2 less boys than girls so that means there are 22 girls and 18 boys in the classroom.

You are conducting a significance test of H0: μ = 1.6 against Ha: μ ≠ 1.6. After checking the conditions are met from a simple random sample of 28 observations, you obtain t = 2.79. Based on this result, describe the p-value.

The p-value falls between 0.05 and 0.1.
The p-value falls between 0.0025 and 0.005.
The p-value falls between 0.02 and 0.025.
The p-value falls between 0.005 and 0.01.
The p-value is less than 0.005

Answers

The correct option is D)The p-value falls between 0.005 and 0.01.

What is p-value?

The P value denotes the probability that, when the null hypothesis is true, the statistical summary will be equal to or more extreme than the actual observed results for a specific statistical model.

The given that [tex]H_0[/tex]: μ = 1.6 and  [tex]H_a[/tex]: μ ≠ 1.6.  and n=28.

Degrees  of freedom = n-1 = 28-1 = 27 This is two tailed test,

P(t>2.79)=1-P(t<2.79)

=> 1-0.9952

=> 0.0048.

P-value = 2*P(t>2.79)=2*0.0048=0.0096.

Hence the correct option is D)The p-value falls between 0.005 and 0.01.

To learn more about p-value refer the below link

https://brainly.com/question/13786078

#SPJ1

select all the ordered pairs that satisfy the function y=8r+20

Answers

Answer:

r= 1/8 y + -5/2

Step-by-step explanation:

The Sine Function

Choose the graph of the following function:
f(x) = -2 sin(x)

a. Graph A
b. Graph B
c. Graph C
d. Graph D

Please select the best answer from choices provided

Answers

Answer:

D. Graph D

Step-by-step explanation:

I calculated it logically

ANSWER THIS ASAP NO FILE AT ATT!!

Answers

Answer:c

Step-by-step explanation:

Just flip it backwards which one looks the same

What is the constant of proportionality for the table below?

Answers

Answer:

Equation:y = 1/2x .  or x = 2y

Constant = 2

Step-by-step explanation:

Input y = output x

the first input/output says that when inputed 2, the number 1 is outputted.

Similarly, when 5 is inputted, 2.5 is the output.

1/2 = 2.5/5

That means that y = 1/2 x

or x = 2y

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

HELP QUICK PLZ! NO SPAM.

XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?

Answers

Answer:

X (15, −8) → X ′(9, −3) → X ″(9, 3);

Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);

Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)

Step-by-step explanation:

Use the translation vector <−6, 5>  to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).

Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .

X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).

Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).

Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).

To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).

Apply the reflection rule to the vertices of △X'Y'Z'.

X' (9, −3) → X'' (9, 3).

Y' (7, 26)→Y''(7, −26).

Z' (−23, 22) → Z'' (−23, −22).

Therefore,

X (15 ,−8) → X' (9, −3) → X'' (9, 3)

Y (13, 21) → Y' (7, 26) → Y'' (7, −26)

Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)

represents the translation of △XYZ along vector <−6, 5>  and its reflection across the x-axis.

Look at the figure. How can you prove the triangles are congruent?

Answers

Answer:

SSS - The two triangles share all 3 sides, proving they are congruent.

Step-by-step explanation:

Two sides of each triangle are marked in the diagram as equal. The third side, [tex]\overline{BD}[/tex] is shared between both sides, meaning that both triangles share all three sides. This is known as SSS (side-side-side) and is a proof of congruence.

Step-by-step explanation:

In triangle ABD In triangle CBD

AB. = BC. [Given]

AD. = CD. [Given]

BD. = BD. [Common side]

Therefore,

According to SSS Congruence condition

Triangle ABD is congruent to Triangle CBD

PLEASE help fast with attached question!! Thanks!​

Answers

Answer: I thihnk it's 1x10^-2

Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small


need help. i will mark brainliest

Answers

Answer:

B (5t + 15 ≤ 140) is correct

Step-by-step explanation:

Because since each table (t) seats 5 people, you'd represent that as 5t (5 seats per table).

Since there is one extra table that seats 15 people, you'd represent that as 15.

Lastly, those two last steps added together should have to be less than or equal to (≤) 140 (the amount of people allowed in the building).

Other Questions
Can somebody help, will give brainliest The ratio of lime juice to orange juice in a drink is 3:8. How much orange juice is used in 50 L of the mixture? cuantos aos duro la construccion de la muralla china y para que se relizo 1. Please give THREE SPECIFIC reasons why the character Tim OBrien believed theVietnam War was morally wrong? | what is the corerct meaning of livelihood the oil spilll threatened the livelihood of people working in the finishing and tourism industries Item 2Jake ran 145 meters before lunch and 389 meters after lunch.How many kilometers did Jake run in all?A. 0.00534 kmB. 0.0534 kmC. 0.534 kmD. 5.34 km How is biodiversity related to environmental solutions? Davos has been reading about encryption recently. He begins to wonder how anything can be secure if everyone is using the same set of algorithms. After all, anyone using the same algorithm would be able to decrypt anything that had been encrypted using that algorithm. Which of the following helps make the data unusable by anyone else using that same encryption scheme without having this information?a. Algorithm b. Cipher c. Key d. Block Which Latin American country contributed the most dances known in America today?A: CubaB: BrazilC: Mexico D: Columbia Economic Sectors in Australia (by GDP)Four pie charts titled Economic Sectors of New Zealand (G D P). Chart A is 25 percent Services, 20 percent Industry, 55 percent Agriculture. Chart B is 35 percent Services, 20 percent Industry, 45 percent Agriculture. Chart C is 71 percent Services, 25 percent Industry, 4 percent Agriculture. Chart D is 25 percent Services, 15 percent Industry, 60 percent Agriculture.Data courtesy of the CIA World Factbook, 2010Which of the pie charts above accurately depicts the GDP composition by sector of Australia?A. Chart AB. Chart BC. Chart CD. Chart D Can you guys please help me with this Who starred in the 2021 debut of Netflix original based on Leigh Bardugo's "Shadow and Bone"?fre.e points, have a nice day a wise man once said 400 reduced by 3 times his age=250 2. What do the other prisoners say/do to Eliezer and his father that actually helpsthem survive? Which table represents a function Which speaker reveals the most bias toward the issue?Speaker A:Hundreds of coal workers protested the bill limiting coal usein the state.Speaker B:Roughly 54 percent of homes in the state use coal as theirmain source of heat.Speaker C:As a coal worker, I believe the government should encouragemore coal use.Speaker D:The government planned to pass legislation to encourage theuse of coal.A. Speaker AB. Speaker DC. Speaker BD. Speaker C Can someone write a psa like this just not with these words. Solve: 2x-4 = -(x-6)/2 plz help with this thanks (100 POINTS WILL MARK BRAINLIEST FOR ACTUAL ANWSERS) Write an equation in standard form of the ellipse with vertices (0,-2) and (8,-2), and a focus located at (7,-2)