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
