Answer:
Volume of the empty space in the can is 327.05 [tex]cm^3[/tex]
Step-by-step explanation:
Given:
Number of golf ball the can holds = 4
Diameter of the golf ball = 5 cm
To Find:
Volume of the empty space in the can = ?
Solution:
Step 1: Finding the volume of one golf ball
Ball is shape of the sphere
So lets use the volume of the sphere formula
Volume of the golf ball = [tex]\frac{4}{3}\pi r^3[/tex]
Radius =[tex]\frac{5}{2}[/tex] = 2.5 cm
Substituting the values
Volume of the golf ball
=[tex]\frac{4}{3} \pi \times(2.5)^3[/tex]
=[tex]\frac{4}{3} \pi \times (15.625)[/tex]
= [tex]\frac{4}{3} \times 49.06[/tex]
= [tex]\frac{196.24}{3}[/tex]
= 65.41
Step 2: Finding the volume of empty space of the can
volume of empty space of the can = volume of 5 golf ball
= 5 X 65.41
= 327.05
