Question 105

A cylinder and a cone have the same height and the same radius of the base. The ratio of the volumes of the cone and cylinder is

Solution

we know that

the volume of the cone is = 1\3 $$\times$$ $$\pi$$ $$\times$$ r^2 $$\times$$ h and

the volume of the cylinder is = $$\pi$$ $$\times$$ r^2 $$\times$$ h then

volume of the cone \ volume of the cylinder = 1\3 $$\times$$ $$\pi$$ $$\times$$ r^2 $$\times$$ h \ $$\pi$$ $$\times$$ r^2 $$\times$$ h

volume of the cone \ volume of the cylinder = 1\3 Answer

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