Question

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

A cone is shown with width 2 inches and height 4 inches, and a cylinder is shown with width 2 inches and height 6 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. (1 point)



8.8 cubic inches


10.1 cubic inches


14.7 cubic inches


22.3 cubic inches

Answer 1

14.7 cubic inches

Answer 2

14.7 cubic inches

Explanation:

**Figure are not shown but from description, here is the solution**

Volume of a cone =
`(1)/(3)\pi r^2h`

Where

• r is the radius
• h is the height

Volume of Cylinder =
`\pi  r^2h`

Where

• r is the radius
• h is the height

Note: In this problem, the width is given, it is same as diameter. Since radius is half of that, radius is half of width.

Volume of the cone =
`(1)/(3)\pi  (1)^2(4)=4.2`

Volume of Cylinder =
`\pi (1)^2(6)=18.8`

So the Cylinder will hold
`18.85-4.19=14.66=14.7` more than Cone.

Hence, Cup B will hold 14.7 cubic inches of juice more than Cup A.