A container is shaped like a cylinder with half spheres on each end. The cylinder has a length of 30 centimeters and a radius of 5 centimeters. To the nearest cubic centimeter, how many cubic centimeters can one container hold?

Question

dayakar · Answer

can u draw a rough figure

tayaiv · Answer

@dayakar The problem I have with this question is that I'm not sure what kind of figure this would be. I think this is what it's supposed to look like.|dw:1455363759639:dw|

dayakar · Answer

very good 
what is the height and radius of the cylinder

tayaiv · Answer

@dayakar The height is 30 and the radius is 5

dayakar · Answer

well done
can write formula of volume of a cylinder

tayaiv · Answer

$$\pi r ^{2}h$$

dayakar · Answer

excellent
we have two hemispheres in the figure
imagine if join together we get sphere
is it clear

tayaiv · Answer

Yes, I understand. :) I got 750pi for the volume of the cylinder and 500pi/3 for the volume of the sphere.

dayakar · Answer

volume of a container = volume of cylinder+ volume of a sphere

tayaiv · Answer

Thank you!

dayakar · Answer

add both volumes