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.

8.8 cubic inches
10.1 cubic inches
14.7 cubic inches
22.3 cubic inches

Answer 1

I hope this helps you

Answer 2

`14.7\ in^(3)`

Explanation:

Step 1

Find the volume of Cup A

we know that

The volume of a cone is equal to

`V=(1)/(3)\pi r^(2) h`

where

r is the radius of the base of the cone

h is the height of the cone

In this problem we have

`r=2/2=1\ in, h=4\ in`

substitute

`V=(1)/(3)\pi (1)^(2) (4)`

`Va=(4\pi)/(3)\ in^(3)`

Step 2

Find the volume of Cup B

we know that

The volume of a cylinder is equal to

`V=\pi r^(2) h`

where

r is the radius of the base of the cylinder

h is the height of the cylinder

In this problem we have

`r=2/2=1\ in, h=6\ in`

substitute

`V=\pi (1)^(2) (6)`

`Vb=6\pi\ in^(3)`

Step 3

Find the difference of volume

`Vb-Va=6\pi\ in^(3)-(4\pi)/(3)\ in^(3)\\\\=(14\pi)/(3)\\\\=14.7\ in^(3)`