+0

# ratio of volumes

0
116
1

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
+11086
+1

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!

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

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

$$V_A:V_B=8:3\\ \ \\ \large \frac{V_A}{V_B}=\frac{8}{3}$$

!

Oct 19, 2020
edited by asinus  Oct 19, 2020