## dietrich_harmon 2 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. dietrich_harmon

2. dietrich_harmon

3. Algebraic!

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

4. Algebraic!

solve for h

5. dietrich_harmon

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6. dietrich_harmon

@Algebraic!

7. Algebraic!

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