The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
The volume of the cone is One-third the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder.
The expression 84 pi over 3 finds the volume of the cone.
The expression 84 pi over 2 finds the volume of the cone.
The correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
What is the volume of cylinder?[tex]V=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
What is the volume of the cone?[tex]V=\pi\times r^2\times \frac{h}{3}[/tex]where 'r' is the radius of the base of the cone and 'h' is height of the cone
For given example,
The volume of the cylinder is 84 pi inches cubed.
Let [tex]V_1[/tex] represents the volume of the cylinder.
[tex]V_1=84~~cu.in.[/tex]
Using the formula of the volume of the cylinder,
[tex]V_1=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
Let [tex]V_2[/tex] be the volume of the cone.
Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.
Using the formula of the volume of the cone,
[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]
This means, the volume of the cone is One-third the volume of the cylinder.
[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]
This means, the expression 84 pi over 3 finds the volume of the cone.
[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]
This means, the volume of the cone is less than the volume of the cylinder.
Therefore, the correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
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What is the area of the trapezoid?
Answer:
256 m^2
Step-by-step explanation:
Are the ratios 2:4 and 5:10 equivalent?
Answer: Yes they are
Yes, they are because when you simplify both of them, they both give you 1:2 which proves they are equivalent.
2:4-->1:2
5:10-->1:2
Hope this helps you!
Answer:
Yes they are
Step-by-step explanation:
This is supposed to be a easy math assignment but I don’t pay attention in class so yeah any help is great!
Answer:
2(n)+9
Step-by-step explanation:
N is 9 btw
Please help y’all I need this Rn
The circle graph shows the contents of one brand of peanut butter.
How much protein is in 838 g of peanut butter?
Answer:
209.5 g
Step-by-step explanation:
The chart shows that 25% of the peanut butter is protein.
25% of 838 g =
= 0.25 * 838 g
= 209.5 g
Answer: 209.5 g
which term is a perfect square of the root 3x4?
Answer:
2√3
Step-by-step explanation:
√3x4 = √12 = 2√3
Answer:
9x^8
Step-by-step explanation:
good luck!!
2 of 5
Given that a = 2.6 cm, and b = 10.8 cm, work out 2.
Give your answer rounded to 1 DP.
b
a
The diagram is not drawn accurately.
==
cm
What is 2?
the question is not clear
This is due today PLSS help!
Answer: sorry I dont know!
Step-by-step explanation:
1. There are 130 boys. 100. girls, and 20 adults. Write the ratio of the
number of girls to the number of adults. *
Answer:
100:20 or 100/20 or 100 to 20
URGENT!! YOU WILL GET BRAINLIEST!
A carpenter is assigned the job of expanding a rectangular deck where the length is three times the width. The width of the deck is to be expanded by 8 feet and the length is to be expanded by the new width. If the area of the new rectangular deck is 240 ft larger than the area of the original deck, find the dimensions of the original deck.
EMERGENCY PLEASE HELP
Step-by-step explanation:
here <D+<B=180
sum of two opposite angle of the cyclic quadrilateral is 180
x+28=180
x=180-28=152°
angle A=x-36=152-36=116°
Store A sells a box of 8 pencils for $0.89. Store B sells a box of 12 pencils for $1.25. Which store sells the better deal? Tell the unit rate for each store (rounding to nearest cent)
Answer:
Should be store B :) The unit rate for store A (rounded) is 0.11 and the rounded unit rate for store B is 0.10
Step-by-step explanation:
Answer:
Store B has the better deal
Unit rate:
Store A = $0.11
Store B = $0.10
Step-by-step explanation:
Store A :
8pencils = $0.89
1 pencil = $0.89/8 = $0.111
Store B:
12pencils = $1.25
1 pencil = $1.25/12 = $0.104
Store B sells 1 pencil at $0.104 and store A at $0.111
Therefore Store B sells the better deal.
1) Mrs. Kramer is packing 36 kilograms of plums into containers to sell at her farm stand. If
she fills 80 containers, about how many grams of plums does each container hold?
grams
Answer:
450 grams of plums per container
Step-by-step explanation:
Since you have to convert the 36 kilograms to grams, it will make it 36,000 grams. You have to divide it into 80 boxes, so 36,000/80 is 450, so 450 it is.
I need help this is due Thursday, show your work and answer the question
i
x+2y=-1
y=-3x - 8
Help please
Answer:
x= -3 y =1
Step-by-step explanation:
Which answer is it? Btw thx
Answer:
B
Step-by-step explanation:
BRAINLIEST FOR AN ACTUAL ANSWER
Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 24 units to the right of the vertex of the graph of g(x). Which pair of functions could have been used to create the graphs of g(x) and h(x)?
h(x)=x2−24 and g(x)=x2
h(x)=x2+24 and g(x)=x2
h(x)=(x−24)2 and g(x)=x2
h(x)=(x+24)2 and g(x)=x2
Answer:
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Step-by-step explanation:
Example: If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Note: the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.
Answer:
C)h(x)=(x−24)2 and g(x)=x2
Step-by-step explanation:
what is the answer to this question?
qeta ssbeni rpnedjo e
adwdaee icsoch
can anyone solve this ?? I have been trying for so many hours
Answer:
Yes. it is 509/56
Step-by-step explanation:
(4 - x)(3+ 2x) = ....................
Answer:
-2x^2+5x+12
Step-by-step explanation:
(4-x)(3+2x)
12-3x+8x-2x^2
12+5x-2x^2
-2x^2+5x+12
this question has still not been answered people just want points
Answer:
t= 41.2 minutes
Step-by-step explanation:
[tex]16=290(0.5)^{\frac{t}{10} }[/tex]
Divide by 290 to get the exponential expression alone
[tex]\frac{16}{290} \\\frac{8}{145}=(.0.5)^{t/10}[/tex]
Use Logs to solve
[tex]x=a^{y}[/tex] is equal to [tex]y=log_{a} x[/tex]
[tex]\frac{t}{10} =log_{0.5} \frac{8}{145}[/tex] (put in calculator)
[tex]\frac{t}{10} = 4.18[/tex]
t= 41.2 minutes
George bought 7 quarts of cleaning fluid: x quarts at $3.00 per quart & y quarts at $2.00 per quart. Find x & y if the total cost was $16.00. First type the equation for the total cost. Now, type the equation for the cost of each
Answer:
3x + 2y = 16
x = 2 , y = 5
Step-by-step explanation:
Given that George bought x quarts at $3.00 per quart & y quarts at $2.00 per quart and he bought 7 quarts for $16.00
Considering the total cost
3x + 2y = 16
For the cost of each
x + y = 7
solving the 2 equations simultaneously be substitution
x = 7 - y
3(7 - y) + 2y = 16
21 - 3y + 2y = 16
-3y + 2y = 16 - 21
-y = - 5
Divide both sides by -1
y = 5
x = 7 -y
x = 7 - 5
= 2
David was solving the following problem “determine 80% of 10” and got 80. Where did David go wrong? Show your Work!
Answer: He went wrong when multiplying.
Step-by-step explanation: He went wrong when multiplying because if you actually do the problem your answer would be 8 but he probably did 8 times 10.
can someone help plz
HELP WILL GIVE BRIANLY AND PLS WORK IT OUT!
Kim chose a certain number, she multiplies it by 2 then subtract 60. she the divide the result by 11. Her result was 4. What number did Kim choose at the beginning? Show Working.
Answer: 52.
Step-by-step explanation:
52x2=104
104-60=44
44/11=4
Plz help me with this!??????
Answer:
X-290
X=70
Step-by-step explanation:
Lexi and Ann went shopping. Ann wondered how much tax she would have to pay on her purchase of $76. Lexi said, "They just charged me $17 in taxes when I bought these outfits for $200." How much will Ann pay in taxes?
Ann will pay in taxes on her purchase of $76, if Lexi paid a charge of $17 in taxes when she bought these outfits for $200, is $6.46.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
Lexi paid a charge of $17 in taxes when I bought these outfits for $200,
Calculate the charge in one dollar = 17 / 200
Now, calculate the charge for $76 dollar = 17 / 200 × 76
The charge for $76 dollar = $6.46
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Mr.Eastman drew triangle JKL,with a height of 12 inches and a base of 12 inches, and triangle XLZ, with a height of 8 inches and a base of 16 inches.Which trangle has the greater area?
Answer:
Step-by-step explanation:
Area of triangle = 1/2 × Base × Height
Mr.Eastman drew triangle JKL,with a height of 12 inches and a base of 12 inches
Area of JKL = 1/2 × 12 inches × 12 inches
= 72 Square inches
triangle XLZ, with a height of 8 inches and a base of 16 inches. Which triangle has the greater area?
(brainliest to the right answer) log9 (3b-6)=log9 (4b+3) please show work thank you
Answer: b=-9
Step-by-step explanation:
1. divide both sides
2.move the terms
3.collect like terms, calculate
4.change the signs