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

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Math Expert
Joined: 02 Sep 2009
Posts: 44645
A right circular cylinder has a height of 8 inches and a diameter of 8 [#permalink]

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09 Apr 2018, 23:54
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100% (00:23) correct 0% (00:00) wrong based on 21 sessions

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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
[Reveal] Spoiler: OA

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

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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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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

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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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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

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

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