A container is shaped like a cylinder with half spheres on each end. The cylinder has a length of 30 centimeters and a radius is 5 centimeters. To the nearest cubic centimeter, how many cubic centimeters can one container hold? Do not round calculations until the final answer.

_______ a0 cubic centimeters

Bleh674 Feb 4, 2019

#1**0 **

Since there is a 1/2 sphere at each end, this is a complete sphere

Sphere volume v =4/3 pi r^3 = 4/3 pi (5)^3 = 500pi/3 cm^3

The cylinder volume = pi r^2 h = pi 5^2 (30) = 750 pi

Added together 750 pi + 500/3 pi = (2750 pi) /3 cm^3 not rounded.

~2880 cm^3 rounded

ElectricPavlov Feb 4, 2019

#1**0 **

Best Answer

Since there is a 1/2 sphere at each end, this is a complete sphere

Sphere volume v =4/3 pi r^3 = 4/3 pi (5)^3 = 500pi/3 cm^3

The cylinder volume = pi r^2 h = pi 5^2 (30) = 750 pi

Added together 750 pi + 500/3 pi = (2750 pi) /3 cm^3 not rounded.

~2880 cm^3 rounded

ElectricPavlov Feb 4, 2019