Caleb has two basketballs. The brown basketball has a radius of 6 inches. The orange basketball has a radius of 9 inches. How much more air does the orange basketball hold than …

Question

asked May 15, 2020 101k views

1 Answer

Matt Larsuma · Answer 1 · 2020-05-21T04:08:03+0000

Answer: Option C.

Explanation:

1. To solve this problem you must apply the formula for calculate the volume of a sphere, which is shown below:

$V=(4)/(3)r^(3)\pi$

Where r is the radius of the sphere.

2. The volume of the brown basketball is:

$V_1=(4)/(3)(6in)^(3)\pi=288\pi$
in^(3)

3. The volume of the orange basketball is:

$V_2=(4)/(3)(9in)^(3)\pi=972\pi$
in^(3)

4. Then to calculate how much more air the orange basketball holds than the brown basketball, you must subtract the volumes. So, the result is:

$V=V_2-V_1\\V=972\pi \ in^(3)-288\pi \ in^(3)\\V=684\pi\ in^(3)$