Question

what is the slant height of a cone with a surface area that measures 435.675 inches squared and a radius that measures 7.5 inches?

Answer 1

What is the lateral area if LA = Pirl?

LA =

✔ 153

Pi mm2

What is the base area if B = Pir2?

B =

✔ 81

Pi mm2

What is the surface area if SA = LA + B?

SA =

✔ 234

Pi mm2

Explanation:

Answer 2

surface area of a cone: the lateral area +the area of the bottom
lateral area: pi*r*l, l is the slant height
area of the bottom: pi*r^2
pi*7.5l+pi(7.5)^2=435.675
23.55l+176.625=435.675
l=11