a metal right cylinder is melted and recast as a sphere. The radius of the cylinder was 4 and the height was 18. Find the volume and surface area of the sphere.

Question

wolf1728 · Answer

Volume of cylinder = pi * radius^2 * height
Volume of cylinder = pi * 4^2 * 18
Volume of cylinder = 904.779

Volume of a sphere = (4/3) * pi * r^3
We need the sphere volume to equal 904.778
so that means we have to solve for the radius
r^3 = Volume of a sphere / (4/3) * pi
r^3 = 904.779 / (4/3) * pi
r^3 = 216
r = 6

Surface Area of a Sphere = 4 * pi * r^2
Surface Area = 452.3893

anonymous · Answer

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