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A cylinder with base of 3 units is inscribed in a sphere of radius 5 units. Find the total surface area of the cylinder plus the total surface area of the sphere.

 Mar 4, 2022
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First, find the height of the cylinder  to be   2 * sqrt(22.75) = 9.539 units       ( see image below)

 

Cylinder surface area = pi 2r h    + 2 * pi r^2        r = 1.5 for the cylinder      h = 9.539 units

 

Sphere surface  area    4 pi r^2          r = 5 for the sphere

 

    Add them together for your answer.............

 

 Mar 4, 2022
edited by ElectricPavlov  Mar 4, 2022

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