Question

Use the picture below to answer the following question. An office uses paper drinking cups in the shape of a cone, with dimensions as shown.

To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
*

31.7
22.4
2.5
23.7
7.9

Answer 1

31.7

Explanation:

volume of a cone = 1/3 * π * r² * h

where π = 3.14

r = 11/4

h = 4

by substituting the values in the formula,

volume = 1/3 * 3.14 * (2.75)² * 4

= 1/3 * 94.95

= 31.65

by rounding of to the nearest tenth volume of each drinking cup

= 31.7 inches³

Answer 2

V = (1/3)π(11/8)²(4)

= (1/3)(121/64)(4)π

= 121π/48 cubic inches

= about 7.9 cubic inches