Question

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

A cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches.

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.

18.8 cubic inches
21.9 cubic inches
25.1 cubic inches
32.6 cubic inches

Answer 1

18.8 is your answer

Explanation:

Answer 2

Amount of juice hold by Cup B which is in the shape of a cylinder having width 2 inches that is radius 1 inches and height 7 inches

=
`\pi r^2 h= \pi * 1^2 * 7= 7 \pi` cubic inches

Amount of juice hold by cup A which is in the shape of a cone having width 2 inches that is radius 1 inches and height 3 inches

=
`(1)/(3) * \pi * r^2 h\\\\ = (1)/(3)* \pi * 1^2 * 3=\pi` cubic inches

Amount of juice that cup B will hold than cup A when both are completely full =
`7\pi -\pi = 6 \pi` cubic inches

= 6 × 3.14

= 18.84 cubic inches

Option A: 18.8 cubic inches