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 v=4/3 sqrt^3 and v=1/3sqrt^2h for the volumes of a sphere and cone respectively.

Question

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 v=4/3 sqrt^3  and v=1/3sqrt^2h  for the volumes of a sphere and cone respectively.

mathstudent55 · Answer

First, take the radius of the sphere, and using the formula for the volume of a sphere, find its volume.
Do this and show what you get.

mathstudent55 · Answer

BTW, those are not the formulas for the volumes of a sphere and and a cone.

anonymous · Answer

bro i dont know how to do that hahah help me out lol what did you get?

mathstudent55 · Answer

Your formulas are wrong. Where did you get them?

anonymous · Answer

thats what i was saying but my teacher said do the work and youll get it so idk b

mathstudent55 · Answer

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