SOLUTION: The formula for the slant height of a right circular cone is s = r2 + h2, where r is the length of a radius of the base, and h is the altitude of the cone. Find the altitud

Algebra ->  Volume -> SOLUTION: The formula for the slant height of a right circular cone is s = r2 + h2, where r is the length of a radius of the base, and h is the altitude of the cone. Find the altitud      Log On


   

Question 900859: The formula for the slant height of a right circular cone is
s =
r2 + h2,
where r is the length of a radius of the base, and h is the altitude of the cone. Find the altitude of a cone whose slant height is 5 inches and whose radius is 3 inches.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Use the correct formula for slant height of a cone.
s for slant height,
highlight_green%28s=sqrt%28r%5E2%2Bh%5E2%29%29.

Given s=5 and r=5,
Solve the formula for h.
s%5E2=r%5E2%2Bh%5E2
h%5E2=s%5E2-r%5E2
highlight_green%28h=sqrt%28s%5E2-r%5E2%29%29