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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.

 

Cone A has a height of 3 and a radius of 8.

Cone B has a height of 8 and a radius of 3.

 Oct 19, 2020
 #1
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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.

Cone A has a height of 3 and a radius of 8.

Cone B has a height of 8 and a radius of 3.

 

Hello Guest!

 

\(V_A:V_B=(\frac{1}{3}\cdot \pi r_A^2\cdot h_A):( \frac{1}{3}\cdot \pi r_B^2\cdot h_B)\\ V_A.V_B=r_A^2\cdot h_A:r_B^2\cdot h_B\)

\(V_A.V_B=(8^2\cdot 3):(3^2\cdot 8)\)

\(V_A:V_B=8:3\\ \ \\ \large \frac{V_A}{V_B}=\frac{8}{3}\)

laugh  !

 Oct 19, 2020
edited by asinus  Oct 19, 2020

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