Question

A cone with a radius of 3" has a total area of 24 sq. in. Find the volume of the cone.


15pi

12pi

Answer 1

Need help?

Answer 2

yep

Answer 3

So this is how u do it:

l=5
r=3
h=?
In the right angled triangle inside the cone that @DarthTony had drawn..we see that hypotenuse is l or s(in the figure he calls slant height or l as s)
Base=r
Height=h
Using Pythagoras' theorem we get
l2=h2+r2
or
h2=l2−r2
solving this(putting values of l and r and then taking square root) we shall get h to be equal to 4.
h=4
Hence volume=
13πr2h

Putting values we get volume as=12pi in^3 (Answer C)

Did you get it?

Answer 4

yep thanks a lot:))

Answer 5

yep! No problem.