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Work out the ratio of the volume of the sphere to the volume of the cylinder

Work out the ratio of the volume of the sphere to the volume of the cylinder-example-1
User Monkbroc
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1 Answer

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so we know the radius of the sphere is 8, and its surface area is 4πr², therefore its surface area is 4π8², namely 256π.


we also know that the surface area of the cylinder is half that of the sphere, namely 256π/2 or 128π, let's use that surface area to get the height h.



image


since now we know h and r for the cylinder, and we also know r for the sphere, let's check their volume's ratio.



image

User Varghese
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