Question

Look at the cups shown below (please note images are not drawn to scale):

How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.

A. 8.8 cubic inches
B. 10.1 cubic inches
C. 14.7 cubic inches
D. 22.3 cubic inches

Answer 1

Cup A

Formula

V = 1/3 pi r^2 h

Givens

r = d/2 = 2/2 = 1 inch

pi = 3.14

h = 4 inches

Solution

V = 1/3 * 3.14 * 1^2 * 4

V = 4.187

Cup B

Formula

V = pi * r^2 * h

Givens

pi = 3.14

r = d/2 = 2/2 = 1

h = 6

Solution

V = pi * r^2 * h

V = 3.14 * 1^2 * 6

V = 18.84

Answer

VB - VA = 18.84 cu in - 4.187 = 14.65 = 14.7 Rounded.

Answer C