+0

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

0
518
1
+474

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

IMAGE

https://latex.artofproblemsolving.com/d/6/2/d62f494a22d0726aa38320488b044e6b2b2ea8f9.png

Dec 6, 2017

#1
+7348
+2

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

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

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

.
Dec 6, 2017

#1
+7348
+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