Question

the lateral area of a right cylinder cone is 20 pi cm^2 and total area is 36pi cm^2. Find the volume of the cone.

Answer 1

@sillynikki1

Answer 2

@Luigi0210

Answer 3

@mathmate

Answer 4

@jamaica25

Answer 5

Use the fact that total area - lateral area = \(\pi r L + \pi r^2 - \pi r L = \pi r^2\)
then \(\pi r^2 = 36\pi-20\pi = 16\pi\)
Solve for r.
Then substitute r into formula for lateral area and solve for L.
Use Pythagoras theorem to find height h where
\(h^2=L^2-r^2\)
Finally, find volume of a cone using
V = \(\pi r^2h/3\)

Answer 6

thanks

Answer 7

You're welcome!