Question

Use the images to answer the question.
cylinder 15 in by 6 in
cone 15 in by 6in
sphere 6 in


Which figures have a volume greater than 600 cubic inches? Choose all that apply. Use 3.14 for pi.

Show your work.

(2 points)
Responses

Cylinder
Cylinder

Cone
Cone

Sphere

Answer 1

First find the radius: diameter = 6 in so r = 3 in.

Cylinder (V = πr^2h):
V = 3.14 × 3^2 × 15 = 3.14 × 9 × 15 = 3.14 × 135 = 423.90 in^3

Cone (V = (1/3)πr^2h):
V = (1/3) × 3.14 × 9 × 15 = 3.14 × 45 = 141.30 in^3

Sphere (V = (4/3)πr^3):
V = (4/3) × 3.14 × 27 = 3.14 × 36 = 113.04 in^3

All three volumes are less than 600 in^3, so none of the figures have volume greater than 600 cubic inches.