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

Respuesta :

Solution:

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

= [tex]\pi r^2 h= \pi \times 1^2 \times 7= 7 \pi[/tex] 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

 = [tex]\frac{1}{3} \times \pi \times r^2 h\\\\ = \frac{1}{3}\times \pi \times 1^2 \times 3=\pi[/tex] cubic inches

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

= 6 × 3.14

= 18.84 cubic inches

Option A: 18.8 cubic inches

Answer:

18.8 is your answer

Step-by-step explanation: