Question

If the height and diameter of the cylinder are doubled, by what factor will the volume of the cylinder change?

Answer 1

Answer:

8

Step-by-step explanation:

Let the initial values of the height and the diameter be h and 2r.

Then the volume of the non-enlarged cylinder is \pi r^2 h

The volume of the enlarged cylinder becomes \pi(2r)^2 2h = \pi 4r^2*2h =8*\pi r^2 h.

So the 2nd volume is obtained by multiplying the 1st volume by 8.

Therefore the cylinder is enlarged by factor 8.

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Answer 2

the answer is D) 8

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