Question

A baby pool is shaped like a short, wide cylinder and holds 37 ft3 of water. A medium pool measures 3 times the height and width of the baby pool. How much water will the medium pool hold?
A. 870 ft3
B. 999 ft3
C. 1036 ft3
D. 1107 ft3

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You have that the baby pool holds $37ft^{3}$ and the medium pool measures three times the height and width of the baby pool and both have the shape of a cylinder. Then, you can use the formula for calculate the volume of a cylinder, which is:

$V=\pi r^{2} h$

Where $r$ is the radius (the half of the width), and $h$ is the height.

2. As the height and the width of the medium pool measure three times the height and width of the baby pool, you must multiply the radius and the heigh by $3$, therefore, the volume of the medium pool ($V2$) is :

$V2=\pi (3r)^{2} (3h)\\V2=27\pi r^{2} h\\ V2= 27V1\\ V2=999ft^{3}$

The answer is: B. $999ft^{3}$