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If the radius of a right circular cylinder is doubled and th
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23 Jan 2018, 15:01
23 Jan 2018, 15:01
Expert Reply
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Question Stats:
96% (00:48) correct
3% (02:18) wrong based on 31 sessions
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If the radius of a right circular cylinder is doubled and the height is tripled, how does the volume of the cylinder change?
A. It is 2 times as much as before.
B. It is 4 times as much as before.
C. It is 3 times as much as before.
D. It is 6 times as much as before.
E. It is 12 times as much as before.
Kudos for right answer and explanation
Re: If the radius of a right circular cylinder is doubled and th
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24 Jan 2018, 03:10
24 Jan 2018, 03:10
1
V1=22/7 r^2h
V1=22/7(2r)^2*3h
=12(22/7r^2h)
Therefore 12 times as before
V1=22/7(2r)^2*3h
=12(22/7r^2h)
Therefore 12 times as before
Re: If the radius of a right circular cylinder is doubled and th
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25 Jan 2018, 04:21
25 Jan 2018, 04:21
1
Set up the formula for the volume of a right circular cylinder:
Volume = height * radius² * π
now plugin the given factors for each variable:
3 * h * (2*r)² * π (note that the radius * 2 must be taken to the power of 2)
solve to get: V = 3 * h * 4 * r² * π which equals V = 12 * height * radius² * π.
Compared to the original volume formula, this one is 12 times larger.
-> answer E is correct
Volume = height * radius² * π
now plugin the given factors for each variable:
3 * h * (2*r)² * π (note that the radius * 2 must be taken to the power of 2)
solve to get: V = 3 * h * 4 * r² * π which equals V = 12 * height * radius² * π.
Compared to the original volume formula, this one is 12 times larger.
-> answer E is correct
