## anonymous 5 years ago how do you solve for a variable using the given measurements.(so it gives me a picture of a cylinder whose radius is 9.3ft and the height is "y".) the volume of this cylinder is 3 ft cubed

1. anonymous

You want the height?

2. anonymous

yes

3. anonymous

$V=\frac{1}{3}(area_. base)y$

4. anonymous

The base is$(area_.base)=\pi r2$so,$V=\frac{1}{3}\pi r^2 y$

5. anonymous

Multiply both sides by 3, and divide both sides by pi.r^2, and you'll have isolated y:$\frac{3V}{\pi r^2}=y$

6. anonymous

You have the volume and radius, so all you need to do is sub. in your values and obtain y.