The diameter of a basketball is approximately 9.5 inches and the diameter of a tennis ball is approximately 2.5 inches. The volume of the basketball is about how many times greater than the volume of the tennis ball?

1 Answer
Apr 16, 2017

The volume of the basket ball #=+-55# times greater than
the tennis ball

Explanation:

Volume of a sphere#=4/3pir^3#

Diameter of basket ball# =9.5#inches , radius #9.5/2=4.75#inches

Volume of the basket ball#4/3pi(4.75)^3#

Volume of the basket ball#=1.333333333*3.141592654*107.171875#

Volume of the basket ball#=448.9205001#cubic inches

Diameter of tennis ball# =2.5cm #, radius #2.5/2=1.25#inches

Volume of the tennis ball#4/3pi(1.25)^3#

Volume of the tennis ball#=1.333333333*3.1415922654*1.953125#

Volume of the tennis ball#=8.18123086#cubic inches

#448.9205001/8.181230867=54.872#

The volume of the basket ball #=+-55# times greater than
the tennis ball