Question

These cones are similar. Find the volume of the smaller cone. Round to the nearest tenth.

Answer 1

Answer:

19.5

Step-by-step explanation:

The Volume of a cone is h/3(r²)$\pi$

That means, for the larger cone,

66=h/3(3²)($\pi$)

66=h/3*9$\pi$

66/9$\pi$*3=h

h=7, so the height of the larger cone is seven

Since the cones are similar, it has to have the same ratio. 7/3 of 2 is 4.6666.  So the height of the smaller cone is 4.66666.

Putting that in the formula,

V=(4.66666/3)(2²)$\pi$

V=1.555555*4*$\pi$

V=19.547

Answer 2

I did it and I got 19.5 too!