If a sphere and a rectangular cylinder having equal radius, the height of the cylinder is double of its radius, the height of the cylinder is double of its radius, then the ratio of volumes of sphere and cylinder is :

The volume of a sphere is 4/3 times pi times r cubed. The volume of the cylinder is pi times r squared times h, and since the height is double the radius, this becomes pi times r squared times 2r, which equals 2 pi r cubed. The ratio of the sphere's volume to the cylinder's volume is 4/3 pi r cubed to 2 pi r cubed. Simplifying this ratio by multiplying both sides by 3/4 results in a ratio of 1 to 2.

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