Question

The radius of a cylinder is increased by a factor of 5. The height is not changed. What is the effect of the increase on the volume of the cylinder?
A) The volume of the cylinder increases by a factor of 5.
Eliminate
B) The volume of the cylinder increases by a factor of 25.
C) The volume of the cylinder increases by a factor of 15.
D) The volume of the cylinder increases by a factor of 10.

Answer 1

@tigerlover

Answer 2

We start with the surface area equation, S = 2(pi)r2 + 2(pi)rh, if the height and radius were doubled then the knew equation becomes S' = 2(pi)(2r)2 + 2(pi)(2r)(2h) = 4(2(pi)r2 + 4(2(pi)rh) = 4(2(pi)r2 +2(pi)rh).

Examining the final result carefully we notice that the knew surface area S' = 4S so it increases by 4 times its orginal.

Answer 3

So what do I do next, I mean how do I determine the volume of the cylinder of whatever factor it increases by

Answer 4

"Examining the final result carefully we notice that the knew surface area S' = 4S so it increases by 4 times its orginal."

Answer 5

So the answer would be A?

Answer 6

Yes

Answer 7

Okie, can you help me with 8 more please?