+0

+1
448
1

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

Feb 4, 2019
edited by Bleh674  Feb 4, 2019

#1
+1

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

Feb 4, 2019
edited by ElectricPavlov  Feb 4, 2019

#1
+1

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
edited by ElectricPavlov  Feb 4, 2019