Question

What is the surface area of a cone with a lateral surface area of 25 square inches and a base diameter of 4 inches? (Use 3.14 as an approximation for π.)

Answer 1

Answer:

Step-by-step explanation:

SA = πr2 + πrl

 

l2 = h2 + r2

l2 = 52 + 32

l2 = 25 + 9

l = √(34)

l = 5.83 cm

And the total surface area of the cone is:

SA = πr2 + πrl

SA = π · r · (r + l)

SA = π · 3 · (3 + 5.83)

SA = 83.17 cm2

Therefore, the total surface area of the cone is 83.17cm2