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A right circular cylinder has a height of 8 inches and a diameter of 8

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A right circular cylinder has a height of 8 inches and a diameter of 8  [#permalink]

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New post 09 Apr 2018, 23:54
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A right circular cylinder has a height of 8 inches and a diameter of 8 inches. How many cubic inches of water can the cylinder hold?

A. 128π
B. 144π
C. 256π
D. 288π
E. 512π

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A right circular cylinder has a height of 8 inches and a diameter of 8  [#permalink]

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New post 10 Apr 2018, 01:01
Bunuel wrote:
A right circular cylinder has a height of 8 inches and a diameter of 8 inches. How many cubic inches of water can the cylinder hold?

A. 128π
B. 144π
C. 256π
D. 288π
E. 512π


Formula used: Volume of a cylinder - \(\pi*R^2*H\)

Given: H = 8 | R =\(\frac{D}{2} = 4\)

Therefore, The volume is \(\pi*4^2*8 = 128*\pi\)(Option A) ,which is also the cubic inches of water the cylinder can hold.
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Re: A right circular cylinder has a height of 8 inches and a diameter of 8  [#permalink]

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New post 10 Apr 2018, 01:17
Bunuel wrote:
A right circular cylinder has a height of 8 inches and a diameter of 8 inches. How many cubic inches of water can the cylinder hold?

A. 128π
B. 144π
C. 256π
D. 288π
E. 512π


CONCEPT: The quantities in CUBIC INCHES or CUBIC Centimeter etc represent VOLUME because volume has three dimensions therefore the result is in CUBIC units
CONCEPT: The quantities in SQUARE INCHES or SQUARE Centimeter etc represent AREA because Area has TWO dimensions therefore the result is in SQUARE units

Here the question is How many cubic inches of water can the cylinder hold?

i,e, We need to find the Volume of the Cylinder

Volume of Cylinder = πr^2h = π*(4^2)*8 = 128π

Answer: Option A
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Re: A right circular cylinder has a height of 8 inches and a diameter of 8  [#permalink]

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New post 11 Apr 2018, 16:20
Bunuel wrote:
A right circular cylinder has a height of 8 inches and a diameter of 8 inches. How many cubic inches of water can the cylinder hold?

A. 128π
B. 144π
C. 256π
D. 288π
E. 512π


Let’s determine the volume of the cylinder:

volume = πr^2h

volume = π(4)^2(8) = 128π

Answer: A
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Re: A right circular cylinder has a height of 8 inches and a diameter of 8 &nbs [#permalink] 11 Apr 2018, 16:20
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