Answer:
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
