Look at this cylinder: 3 in 8 in If the height is quadrupled, then which of the following statements about its volume will be true?

Respuesta :

the new volume will be 144 π cubic inches

the volume of the cylinder using the formula V = πr^2h, where V is volume, r is the radius, and h is the height.

so quadruple the height in order to find the new height

calculate the new volume using the new height while keeping the radius the same

the original volume: V = π(3/2)^2 * 8 = 36π in^3

now the new height after quadrupling: 8 * 4 = 32 in

final new volume: V_new = π(3/2)^2 * 32 = 144π in^3

correct me if I’m wrong ^^