SOLUTION: hello my question would be A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as s

Algebra ->  Volume -> SOLUTION: hello my question would be A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as s      Log On


   

Question 964103: hello my question would be A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
volume of cylinder, 16%2Api%2A5%5E2;
volume of cone, %281%2F3%2912%2Api%2A4%5E2;

Cylinder seems bigger. Space in cylinder not part of cone space is
pi%2816%2A5%5E2-%281%2F3%2912%2A4%5E2%29
pi%2816%2A5%5E2-4%2A4%5E2%29
4%5E2%2Api%285%5E2-4%29
16%2Api%2821%29
highlight%28336pi%29, the empty air space between cone and cylinder inside the cylinder.