Question

How many times larger is the volume of a

cylinder if the radius is multiplied by 3?
A. 3 times larger
B. 6 times larger
C. 9 times larger
D. 27 times larger

Answer 1

C. 9 times larger

Step-by-step explanation:

where, r = radius of a cylinder and h = height of the cylinder. This means that the volume of a cylinder will be 9 times larger if the radius is multiplied by 3.

Answer 2

When the radius of a cylinder is multiplied by 3, the volume of the cylinder is increased by a factor of 3^2 = 9, not 3.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. If we multiply the radius by 3, the new radius becomes 3r. So the new volume becomes:

V' = π(3r)^2h = 9πr^2h

Therefore, the new volume is 9 times larger than the original volume.

So, the correct answer is C. 9 times larger.