word problem

[help777]

If i have an object with the radius of 6 and the volume of 150.72, what is and how do i find the height?

 

[HallsofIvy]

If i have an object with the radius of 6 and the volume of 150.72, what is and how do i find the height?

You don't! Not without knowing the shape! The simplest figure that has both "radius" and "height" is the cylinder. Its volume is given by \(\displaystyle V= \pi r^2 h\). Replace V with 150.72, r with 6, and solve for h.

But there are many shapes that have "volume" "radius" and "height".