Question

Help?!? will give a medal !
A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

12 in3

18 in3

24 in3

36 in3

Answer 1

@SolomonZelman help plz

Answer 2

*
The volume of a pyramid is
\[V_\text{pyramid}=\tfrac13bh\] _ _ _

The volume of a prism is
\[V_\text{prism}=bh\]
where
\(b\) is the area of the base
\(h\) is the height
_ _ _

A cone is a pyramid with a circular base
_ _ _

A cylinder is a prism with a circular base
_ _ _

The area of a circle is
\[A_\text{circle}=\pi r^2\]
where
\(r\) is the radius

Answer 3

For the cone to fit exactly in the cylinder,
what must be the relationship between the heights, and the bases