Question

A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?

Answer 1

Answer:

10344.827586 basketballs

Step-by-step explanation:

A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?

Step 1

We find the volume of the room

The room is rectangular in shape

Volume = Length × Width × Height

= 15ft × 20ft × 10ft

= 3000ft³

Step 2

Basket ball is spherical in shape

Volume of a sphere = 4/3πr³

Diameter = 9.6 inches

Radius = Diameter/2 = 9.6 /2 = 4.8 inches

Convert Radius from inches to ft

= 4.8inches/12

= 0.408333 feet

Volume of a sphere = 4/3 × π × 0.408333³

= 0.29 ft³

Step 3

3000 ÷ 0.29

10344.827586