Question

What will be the difference in volume of a cylinder if the radius is doubled?

Answer 1

3pir^2h.

Step-by-step explanation:

Initial volume = pi r^2 h

New volume = pi (2r)^2 h

= 4pir^2h

Difference = 3pir^2h.

Answer 2

Answer: 3pi*r^2*h

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Step-by-step explanation:

V1 = volume of first cylinder

V1 = pi*(radius)^2*(height)

V1 = pi*r^2*h

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V2 = volume of second cylinder with doubled radius

V2 = pi*(new radius)^2*(height)

V2 = pi*(2r)^2*h

V2 = pi*(4r^2)*h

V2 = 4pi*r^2*h

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V3 = difference in volumes

V3 = V2 - V1

V3 = 4pi*r^2*h - pi*r^2*h

V3 = 4pi*r^2*h - 1pi*r^2*h

V3 = (4-1)pi*r^2*h

V3 = 3pi*r^2*h