Question

This container is composed of a right circular cylinder and a right circular cone. The diameter is 20, the height of the cylinder is 9, and the slant height of the cone is 16. Find the surface area

Answer 1

Total -CSA= 1068.28

Explanation:

This problem is on the mensuration of solids, a cylinder and a cone combined (a frustum)

We are required to solve for the total curve surface areas both solids

hence the curve surface area (henceforth CSA) of a cylinder is given as

`CSA-cylinder=2\pi rh`

`CSA-cone= \pi rl`

`Total CSA= 2\pi rh+\pi rl`

Given data

diameter d= 20

radius = d/2= 20/2= 10

height of cylinder h= 9

slant height of cone l= 16

substituting our data into the expression we have

`Total -CSA= 2*\pi *10*9+\pi *10*16\\\\Total -CSA= 565.56+502.72\\\Total -CSA= 1068.28`