Question

A large beach ball has a diameter of 4.14 feet. How much air can fill the ball?

Answer 1

The beach ball can hold 37.15 cubic feet of air

Solution:

Given that the beach ball has a diameter of 4.14 feet

We are asked to find how much air can fill the ball. This means that we have to find the volume of the ball

Finding volume of ball:

Given diameter = 4.14 feet

We know that radius is half of diameter

$radius = \frac{diameter}{2}$

$radius = \frac{4.14}{2} = 2.07$

Since ball is a sphere, Volume of sphere is given as:

$volume of sphere = \frac{4 \pi r^3}{3}$

By substituting the value of radius we get,

$v = \frac{4 \pi \times 2.07^3}{3}\\\\v = \frac{4 \times 3.14 \times 8.869743}{3}\\\\v = 37.15$

Hence the beach ball can hold 37.15 cubic feet of air