8th Grade Volume of Cylinders, Cones and Spheres Quiz: 10 Questions with Explanations

A \(10\pi\)B \(60\pi\)C \(20\pi\)D \(100\pi\)

V = pi x 4 x 5 = 20 pi. Using the diameter gives wrong values.

A \(36\pi\)B \(12\pi\)C \(48\pi\)D \(4\pi\)

(1/3) x pi x 9 x 4 = 12 pi. Forgetting the 1/3 gives 36 pi.

A \(12\pi\)B \(108\pi\)C \(36\pi\)D \(27\pi\)

(4/3) x pi x 27 = 36 pi.

A \(75\pi\)B \(15\pi\)C \(30\pi\)D \(225\pi\)

pi x 25 x 3 = 75 pi.

A one third of the cylinder’sB half of the cylinder’sC equal to the cylinder’sD three times the cylinder’s

A cone fits into a cylinder three times.

A \(432\pi\)B \(72\pi\)C \(36\pi\)D \(144\pi\)

(1/3) x pi x 36 x 12 = 144 pi.

A \(288\pi\)B \(36\pi\)C \(12\pi\)D \(72\pi\)

The radius is 3, so V = (4/3) pi x 27 = 36 pi. Using 6 as the radius gives 288 pi.

A 12B 3C 6D 1.5

48 pi = 16 pi h, so h = 3.

A 2B 4C 6D 8

Volume depends on r cubed, and 2 cubed is 8.

A 141.3 in³B 47.1 in³C 94.2 in³D 282.6 in³

3.14 x 9 x 5 = 141.3.