Question

A Rocket Basketball has a diameter of 24cm. How much air will it take to inflate 15 basketballs?

Answer 1

Answer:

108617.1 cubic centimeter of air will be used to inflate 15 basketballs

Explanations:

The rocket basketball is spherical in shape

The amount of air that will take to inflate one basketball is the volume of the basketball

The volume, V, of a sphere is given by the formula:

`V\text{ = }(4)/(3)^{}\text{ }\pi r^3`

Diameter of the baseball = 24 cm

The radius, r = diameter / 2

r = 24/2

r = 12 cm

`\begin{gathered} \text{V = }(4)/(3)\pi r^3 \\ V\text{ = }(4)/(3)*\text{ }(22)/(7)*12^3 \\ V\text{ = }7241.14cm^3 \end{gathered}`

Now, to inflate 15 basketballs:

Volume = 15 x 7241.14

Volume = 108617.1 cubic centimeter