Find the lateral area and surface area of a right cone with

Find the lateral area and surface area of a right cone with radius 5 in. and height 12 in. Give your answers in terms of pi. a. lateral area: 90 pi m^2: surface area: 65 pi m^2 b. lateral area: 65 pi in^2: surface area: 90 pi m^2 c. lateral area: 65 pi in^2: surface area: 75 pi m^2 d. lateral area: 25 pi in^2: surface area: 90 pi in^2

Solution

24.

Lateral area of cone = pi*r*sqrt(r^2+h^2)

= pi*5*sqrt(12^2 + 5^2)
= 65*pi

Total surface area

= Lateral area of cone + cone base area
= 65*pi + pi*r^2
= 65pi + pi*5^2
= 90pi

Answer is B