Question

Consider the cylinder above. The radius is now doubled. Find the DIFFERENCE in volume between the

two cylinders.

Answer 1

The difference in volume between the two cylinders is 4032π

Explanation:

The formula for volume of a cylinder is

(π)(r²)(h) =V

h = height = 21

for the original cylinder,

diameter = d = 16

so, r = d/2 = 8 so radius = 8

V1 = (π)(8)(8)(21)

and after doubling the radius we get,

r = 16

V2 = (π)(16)(16)(21)

the difference in volume is,

V2 - V1 = 21π(16)(16) - 21π(8)(8)

V2 - V1 = 21π[(16)(16) - (8)(8)]

where we have taken the common elements out

= 21π(192)

so the difference is 4032π