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# What is the ratio of the volume of cone $A$ to the volume of cone $B$? Express your answer as a common fraction.

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What is the ratio of the volume of cone $A$ to the volume of cone $B$? Express your answer as a common fraction.

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RektTheNoob  Dec 6, 2017

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volume of cone  A  =  $$\frac13\cdot\pi\cdot14.8^2\cdot28.3$$

volume of cone  B  =  $$\frac13\cdot\pi\cdot28.3^2\cdot14.8$$

$$\frac{\text{volume of cone A}}{\text{volume of cone B}}\,=\,\frac{\frac13\cdot\pi\cdot14.8^2\cdot28.3}{\frac13\cdot\pi\cdot28.3^2\cdot14.8}\,=\,\frac{14.8^2\cdot28.3}{28.3^2\cdot14.8}\,=\,\frac{14.8}{28.3}\,=\,\frac{148}{283}$$

hectictar  Dec 6, 2017
#1
+7096
+2

volume of cone  A  =  $$\frac13\cdot\pi\cdot14.8^2\cdot28.3$$

volume of cone  B  =  $$\frac13\cdot\pi\cdot28.3^2\cdot14.8$$

$$\frac{\text{volume of cone A}}{\text{volume of cone B}}\,=\,\frac{\frac13\cdot\pi\cdot14.8^2\cdot28.3}{\frac13\cdot\pi\cdot28.3^2\cdot14.8}\,=\,\frac{14.8^2\cdot28.3}{28.3^2\cdot14.8}\,=\,\frac{14.8}{28.3}\,=\,\frac{148}{283}$$

hectictar  Dec 6, 2017