Question

If the radius of this cylinder is doubled, its volume will be

twice as much
four times as much
eight times as much

Answer 1

V = \pi r^2h

When the radius is doubled, then

V=\pi (2r)^2h=4\pi r^2h

Therefore, when the radius is doubled, it volume will be four times as much.

Explanation:

Answer 2

Answer: four times as much

Explanation:

The volume of a cylinder is given by :-

`V=\pi r^2h`, where r is the radius and h is the height of the cylinder.

If the radius of this cylinder is doubled, then the radius of the new cylinedr will be:

R=2r

Now, the volume of the new cylinder is given by :-

`V_1=\pi (2r)^2h\\\\\Rightarrow\ V_1=\pi(4r^2)h\\\\\Rightarrow\ V_1=4\pi r^2h\\\\\Rightarrow\ V_1=4(\pi r^h)\\\\\Rightarrow\ V_1=4(V)`

Hence, If the radius of cylinder is doubled, its volume will be four times as much.