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

Answer:

$14.7\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of Cup A

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

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

$V=\frac{1}{3}\pi (1)^{2} (4)$

$Va=\frac{4\pi}{3}\ in^{3}$

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

$Vb-Va=6\pi\ in^{3}-\frac{4\pi}{3}\ in^{3}\\\\=\frac{14\pi}{3}\\\\=14.7\ in^{3}$