Question

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

A cone is shown with width 3 inches and height 6 inches, and a cylinder is shown with width 3 inches and height 5 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
21.2 cubic inches
28.2 cubic inches
49.5 cubic inches

Answer 1

option b

Explanation:

Because cup b is 21.2 cubic inches more than cup a

Answer 2

Answer: Cup B will hold 21.2 cubic inches more of juice than cup A.

Explanation:

Hi, to solve this problem we have to calculate the volume of each cup, the volume will be the amount of water that each one can hold.

Cone:

width :3 inches (3/2 = 1.5 radius)

height: 6 inches (h)

So, we have to apply the volume formula for a cone:

• 1/3 x π x r²x h = 1/3 x π x 1.5² x 6 = 14.13 cubic inches

Cylinder:

width :3 inches (3/2 = 1.5 radius)

height: 5 inches (h)

• π x r²x h = π x 1.5²x 5= 35.34 cubic inches

Finally, we have to subtract the volume of the cone to the volume of the cylinder.

• 35.34 cubic inches - 14.43 cubic inches= 21.2cubic inches

In conclusion, cup B will hold 21.2 cubic inches more of juice than cup A.