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dietrich_harmon

  • 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.

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  1. dietrich_harmon
    • 3 years ago
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  2. dietrich_harmon
    • 3 years ago
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  3. Algebraic!
    • 3 years ago
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    \[\frac{ 4 }{ 3 }\pi (5a)^3 =\frac{ 1 }{ 3 }(3a)^2 h\]

  4. Algebraic!
    • 3 years ago
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    solve for h

  5. dietrich_harmon
    • 3 years ago
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    |dw:1353369215979:dw|

  6. dietrich_harmon
    • 3 years ago
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    @Algebraic!

  7. Algebraic!
    • 3 years ago
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    do you have a question about the algebra steps needed in order to solve for h?

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