Below. If the cone has a diameter of 9 inches with a slant

height of 7.5 inches, find the total surface area of the solid.

12 in

169.67in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The expression for the total surface area of the cone is

A = πrl + πr²

Given data

Diameter d = 9in

Radius r = d/2 = 9/2 = 4.5in

Slant height l = 7.5in

A = πrl + πr²

Substituting our given data we have

A = 3.142*4.5*7.5 + 3.142*4.5²

A = 106.04+63.63

A = 169.67in²

The total surface area is 169.67in²