## anonymous 3 years ago Suppose that a sphere with radius 5a has the same volume as a cone of radius 3a. What is the height of the cone? Give your answer in terms of a. Use the formulas and for the volumes of a sphere and cone respectively.

1. anonymous

2. anonymous

3. anonymous

$\frac{ 4 }{ 3 }\pi (5a)^3 =\frac{ 1 }{ 3 }(3a)^2 h$

4. anonymous

solve for h

5. anonymous

|dw:1353369215979:dw|

6. anonymous

@Algebraic!

7. anonymous

do you have a question about the algebra steps needed in order to solve for h?