A cone is cut into a cube as shown 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.

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