What is the volume of the cone that has a radius of 4 inches and a slant height of 5 inches?

1 Answer
Apr 20, 2017

16pi

Explanation:

You can find the height using Pythagoras' theorem

http://math.tutorvista.com/geometry/altitude-of-a-cone.htmlhttp://math.tutorvista.com/geometry/altitude-of-a-cone.html

"slant height"^2= "radius"^2+"height"^2

"height"^2 = "slant height"^2 - "radius"^2

"height" = sqrt("slant height"^2 - "radius"^2)

Plugging numbers

"height" = sqrt(25-16)= sqrt9 = 3

Then, plug the height into the Volume formula for Cone

V=1/3*pi*R^2*h = 1/3*pi*16*3 = 16pi