A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
Answer:
Step-by-step explanation:
Since cone has to fit exactly inside of a cylinder
(1) radius of cone will be same as radius of cylinder
(2) height of cone will be same as height of cylinder
volume of cone is V= \(\frac{1}{3} \pi r^2h\)
volume of cylinder V = \(\pi r^2h\)
that is volume of cylinder is three times volume of cone
which gives volume of cylinder = 3 (24 cubic inches ) = 72 cubic inches