Find the surface area of a cone with volume 320pi and height 15 (hint: don't use the height in
the surface area formula.

Answer key :
Either 200 pi or 325 pi
Please help !!!

Answers

Answer 1

Answer:

200π

Step-by-step explanation:

Surface area of a cone  = πr(r+l)

r is the radius

l is the slant height

Volume of the cone = 1/3πr²h

320π = 1/3πr²h

320 = 1/3r²(15)

320 = 5r²

r² = 320/5

r² = 64

r = 8

l² = 15² + 8²

l² = 225 + 64

l² = 289

l = 17

Get the surface area;

S =  πr(r+l)

S =  π8(8+17)

S = π*8*25

S = 200π

Hence the surface area of the cone is 200π


Related Questions

help asap will mark brainliest !!!!!!

Question 12(Multiple Choice Worth 1 points)

(01.03 MC)

What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5?

40
41
42
43

Answers

Answer:

Step-by-step explanation:

simplified expression of 4 power 4 multiplied by 4 power 3 over 4 power 5.

Answer:

4^2

Step-by-step explanation:

(4^4*4^3)/4^5

4^4 * 4^3 = 4^7 because of an exponent multiplication property, when exponents of the same number multiply, they can just add

4^7/4^5

4^7-5

= 4^2 Because..

another exponent property is that if the exponents of the same number divide, they can subtract! The opposite of the other property!

Perform the following operation: -3+6​

Answers

Answer:

3

Step-by-step explanation:

it is a correct answer .................

Answer:

The answer would be 3

The national park has a new kiosk which visitors pass through as they enter the park. The kiosk is in the shape of a cylinder with a diameter of 5 meters and a height of 3 meters and a conical roof that measures 2 meters in height. What is the volume of the kiosk? Round your answer to the nearest cubic meter

Answers

Answer:

The volume of the kiosk is 72 m³.

Step-by-step explanation:

The volume of the kiosk is given by the sum of the volume of a cylinder ([tex]V_{cy}[/tex]) and the volume of a cone ([tex]V_{c}[/tex]):

[tex] V = V_{cy} + V_{c} = \pi r^{2}h_{cy} + \frac{1}{3}\pi r^{2}h_{c} [/tex]

Where:  

r: is the radius of the cylinder and the cone = d/2 = 5/2 = 2.5 m

d: is the diameter = 5 m

[tex]h_{cy}[/tex]: is the height of the cylinder = 3 m                              

[tex]h_{c}[/tex]: is the height of the cone = 2 m

Hence, the volume is:

[tex] V = \pi (2.5 m)^{2}(3 m + \frac{1}{3}*2 m) = 72 m^{3} [/tex]

Therefore, the volume of the kiosk is 72 m³.

                             

I hope it helps you!

Connor needs to buy 430 orange balloons for a party. The orange balloons are sold in packs of 6. If he buys the smallest possible number of packs, how many balloons will be left over?

Answers

Answer:

2 balloons.

Step-by-step explanation:

6x = 430

x = 71.6

He has to buy 72 packs, there will be:

72 * 6 = 432 - 430 = 2 balloons left.

Which input value produces the same output value for the two functions on the graph?

x = –3
x = –1
x = 1
x = 3

Answers

Answer:

X=3

Step-by-step explanation:

We have two linear functions which intersect at a point. Linear functions are lines which are made of points that satisfy the function or relationship.  This means at the intersection, this point (3,-1), both functions have values. An input of x=3 produces y=-1 in both functions.

5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.

Answers

Answer:

m = 5, n = 2

Step-by-step explanation:

[tex]5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m \ in \ 5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \ in \ m = -7 + 6n\\\\m = -7 + (6 \times 2) = -7 + 12 = 5[/tex]

please help me help help help​

Answers

xy+xb+ya+ab = 32

x(y+b) + a(y+b) = 32

(x+a) (y+b) = 32

4.(y+b) = 32

(y+b) =32/4

(y+b) = 8

OPTION C

It's urgent I need help quick pls help me

Answers

Answer:

11

Step-by-step explanation:

16 - 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex] - 5

= 16 - 5

= 11

in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.

Answers

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

Answer:

White 47 percent, 23 percent blue 30 percent red.

47+23+30=100 percent

Step-by-step explanation:

So to get the percentages you first have to get the numbers that you need in this case it is 47,30,and 23.

After that we have to first multiply the numbers(47,30,23)by 100 because

100 hundred is our total percent so 47x100=4700 30x100=3000

and 23x100=2300.And 47x100=4700 30x100=3000

and lastly 23x100=2300.So after we multiply the numbers by 100 hundred we have to divide so we see there's 100 cars so we divide by that because that is the total amount of cars and if we divide all our numbers by 100 we will get the answer,

4700/100=47 percent 3000/100=30 percent 2300/100=23 percent

and to check our answer is right we have to add all our number percentages up to see if all the numbers add up to 100.(percentage)so 47+30+23=100

So that means our answer is right.

So there’s two cell phones the length on first is 8.4 inches the width on the first cell phone is 5.6 inches. On the second cell phone the length is 9.21 inches. The length and width of the two cell phones are proportional. What is the width, inches of the larger of the cell phone?

Answers

Answer:

The width, in inches of the larger cell phone is 6.14 inches.

Step-by-step explanation:

To solve we must set up a ratio.

[tex]\frac{8.4}{5.6} = \frac{9.21}{y}[/tex]

After setting this ratio up, we can cross multiply to solve for y.

8.4(y) = 5.6(9.21)

8.4(y) = 51. 576

To get y alone we divide by 8.4 on both sides.

y = 6.14

The width, in inches of the larger cell phone is 6.14 inches.

Question 8 of 10
Which property of polynomial multiplication says that the product of two
polynomials is always a polynomial?
A. Distributive
B. Addition property of equality
C. Commutative
D. Closure

Answers

Answer:

D. Closure

Step-by-step explanation:

D. Closure

the answer would be b

Sum of two numbers is 5/22. If one of the number is 2/11, then the other number is

Answers

Answer:

1/22

Step-by-step explanation:

2/11 = 4/22 therefore 4/22 + x = 5/22 and 5/22 - 4/22 = 1/22

[tex]\huge\bold{Given :}[/tex]

Sum of two numbers = [tex] \frac{5}{22} [/tex]

One of the number = [tex] \frac{2}{11} [/tex]

[tex]\huge\bold{To\:find :}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is }[/tex] [tex] \frac{1}{22} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]sum \: of \: the \: two \: numbers = \frac{5}{22} \\ \\ ⇢  \frac{2}{11} + x = \frac{5}{22} \\ \\⇢ x = \frac{5}{22} - \frac{2}{11} \\ \\ ⇢ x = \frac{5}{22} - \frac{2 \times 2}{11 \times 2} \\ \\⇢ x = \frac{5 - 4}{22} \\ \\ ⇢ x = \frac{1}{22} [/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is}[/tex] [tex] \frac{1}{22} [/tex].

[tex]\huge\bold{To\:verify :}[/tex]

[tex] \frac{2}{11} + \frac{1}{22} = \frac{5}{22} \\ \\➪ \: \frac{2 \times 2}{11 \times 2} + \frac{1}{22} = \frac{5}{22} \\ \\ ➪ \: \frac{4 + 1}{22} = \frac{5}{22} \\ ➪ \: \frac{5}{22} = \frac{5}{22} \\ \\ ➪ \: L. H. S. = R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

PLS HELP ME IM RLLY STUCK I WILL GIVE BRAINLIEST

Answers

Check the picture below.

David gasta el 20% de su salario en el pago de los servicios básicos de su casa del resto gasta el 50% en alimentación si al final se queda con 2000 Córdoba cuanto gana David

Answers

Answer:

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

Step-by-step explanation:

Se queda 2000 Córdoba

Gasta el 20% de su salario para pagar los servicios básicos de su casa.

Gasta el 50% de su salario en comida.

Suponga que gana x cantidad

luego

x = 0,2x + 0,5x + 2000

x = 0,7x + 2000

x-0,7x = 2000

0,3 veces = 2000

x = 2000 / 0,3

x = 6666,67

Gana 6666,67 Córdoba de los cuales

gasta 3333,33 en alimentos y 1333,33 en servicios.

He keeps 2000 Córdoba

He spends  20% of his salary to pay for the basic services of his hous.

He spends 50% of his salary to pay on food.

Suppose he earns x amount

then

x= 0.2x+0.5x+2000

x= 0.7x+2000

x-0.7x=2000

0.3x= 2000

x= 2000/0.3

x= 6666.67

English

He earns 6666.67  Córdoba out of which

he spends 3333.33 on food and 1333.33 on services .

What is the solution set of the equation
x + 6 = 2(x + 3) - x?

Answers

Answer:

x = all real numbers

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

x + 6 = 2(x + 3) - x

Step 2: Solve for x

[Addition Property of Equality] Add x on both sides:                                     2x + 6 = 2(x + 3)[Distributive Property] Distribute 2:                                                                 2x + 6 = 2x + 6

Here we see that both sides are identical.

∴ our solution is all real numbers.


X/4- 3 = 9
the / means divided

Answers

Answer:

48 x means 48

Step-by-step explanation:

48/4= 12

12-3=9

/ means divided

simplify ,without using a calculator(2 1/2)2 + (0.5)2 ​

Answers

Answer:

22

Step-by-step explanation:

Step-by-step explanation:

2 1/2 × 2

=5/2 × 2

=5

(0.5)2

=0.5×2

=1

5+1

=6

angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I

Answers

Answer:

42°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

1) 90-48 = 42

Hope this helps! :)

Answer:

angle I = 42 degree

Step-by-step explanation:

In complementary angles sum of two angles ia always 90 degree.

angle I +angle N=90 degree (since they are complementary)

substitute the value of angle N

angle I + 48 = 90

angle I = 90 -48

angle I =42 degree

PLEASE HELP ME WITH THIS ITS DUE TONIGHT

BE HONEST WITH YOU ANSWER AND EXPLAIN HOW YOU GOT IT PLEASE

THANK YOU

Answers

Answers:

Angle C = 95 degreesAngle D = 72 degreesAngle F = 108 degreesArc CFE = 216 degrees

================================================

Explanations:

For any inscribed quadrilateral like this, the opposite angles are always supplementary. So that means C+E = 180. Plugging in E = 85 leads to C = 95.Angle D is an inscribed angle that subtends arc CFE. By the inscribed angle theorem, the inscribed angle is half that of the arc it cuts off, so angle D is half of 144 degrees at 144/2 = 72 degrees.Use the idea mentioned in problem 1. So we'll have F+D = 180. Plug in D = 72 to find that F = 108.Arcs CDE and CFE form a full circle. So the arc measures must add to 360 degrees. We simply subtract 144 from 360 to get the answer 216. As an alternative, you can use the idea mentioned in problem 2, but work in reverse.

Please solve and show me how you solved it

Answers

Answer:

Step-by-step explanation:

(x^a)^b=(x)^{a×b}

x¹² would be the answer. The 3 and 4 multiply together. x( ⁴ * ³) = x¹²

which graphs represent functions

A. Graph D only
B. Graph B and Graph D
C. Graph C and Graph D
D. Graph A only​

Answers

Answer: C i believe

Step-by-step explanation:

Answer:

the option answer is B

Step-by-step explanation:

the is the answer because it represents functions

PLS HURRY!! Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice.

Two Brands of Juice
Brand A
Brand B
12 ounces
8 ounces
$2.55
$1.45

She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Brand A costs approximately $0.18 per ounce, and Brand B costs approximately $0.21 per ounce.
Brand A costs approximately $0.12 per ounce, and Brand B costs approximately $0.15 per ounce.
Brand A costs approximately $0.15 per ounce, and Brand B costs approximately $0.12 per ounce.
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce.

Answers

Answer:

Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce

Step-by-step explanation:

divide the price by the the number of ounces.

2.55/12 = .21

1.45/8 = .18

The solution is n=-2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

Answers

Answer:

- 0.8 = - 0.8

n = - 2 is a solution.

Step-by-step explanation:

1.4n + 2 = 2n + 3.2

1.4(- 2) + 2 = 2(- 2) + 3.2

- 2.8 + 2 = - 4 + 3.2

- 0.8 = - 0.8

How to solve

1.4n + 2 = 2n + 3.2

1.4n + 2 - 2 = 2n + 3.2 - 2

1.4n = 2n + 1.2

1.4n - 2n = 2n - 2n + 1.2

- 0.6n = 1.2

- 0.6n ÷ - 0.6 = 1.2 ÷ - 0.6

n = - 2


Please, help!! Those are the steps that I have so far.

Answers

I HATE THAT I NEED TO NANDWWE TO AAK

Jim writes 10^4 words every day how many words does he writes in 10^3 days?​

Answers

1,000 words

10^4=10,000
10^3=1,000

Please help me find the answer

Answers

The answer is “1.49”

Explanation:

substitute 42 into θ

cot (42) sec (42) = csc (42) or 1.49447654

Round to two decimal places and that gives you “1.49”

Please help ASAP!!!!!

Answers

Answer:

SHORT ANSWER IS B.

Angles in a triangle add up to equal 180 degrees

Hence, 40x - 27 + 25 - 2x + 26 + x = 180

( Note that we just created an equation that we can use to solve for x)

We now solve for x using the equation we created

40x - 27 + 25 - 2x + 26 + x = 180

Combine like terms

39x + 24 = 180

Subtract 24 from both sides

39x = 156

Divide both sides by 39

The polygons are similar, but not necessarily drawn to scale. Find the value of x.
220
27.5
110
15.8

Answers

Answer:

x = 27.5

Step-by-step explanation:

x/55 = 4/8 (ratio between the two polygons); cross multiply.

220 = 8x; divide 8 on both sides

x = 27.5

2sin^2x+7sin x.cosx-cos^2x=4

Answers

How well you 147 to get the

Step-by-step explanation:

haiajajiqbqkqiebblbajwvwjnw

2
Use the Pythagorean Theorem (a + b² = c) to find the missing side length.

Answers

Answer:

21.4

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2} \\13^{2} + 17^{2} = c^{2} \\169+ 289 = \sqrt{c^{2} } \\\sqrt{458} = \sqrt{c^{2} } \\21.4 = c[/tex]

[tex]\huge\bold{Given:}[/tex]

Length of the base "b" = 17 yd.

Length of the perpendicular "a" = 13 yd. [tex]\huge\bold{To\:find:}[/tex]

The length of the missing side, hypotenuse ("c").

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\boxed{C.\:21.4\:yd}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ \\⇢( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {c}^{2} \\ \\⇢ {c}^{2} = 169 \: {yd}^{2} + 289 \: {yd}^{2} \\ \\⇢c = \sqrt{458 \: {yd}^{2} } \\ \\⇢c = 21.40 \: yd[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:side\:"c"\:is\:21.4\:yd.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {13 \: yd})^{2} + ( {17 \: yd})^{2} = {21.4 \: {yd}^{2} }\\ \\ ⇝169 \: {yd}^{2} + 289 \: {yd}^{2} = 457.96 \: {yd}^{2} \\ \\⇝458 \: {yd}^{2} = \: 458\: {yd}^{2} \\\\⇝ L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

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