The volume of a cone with a radius of 7 cm is 147 cubic centimeters. Which expression can be used to find h, the height ofthe cone?147 R72 (h)O 147a147

The choices are not attached but we can solve the problem from the given information

The expression can be used to find h is  

The height of the cone is cm

Step-by-step explanation:

The formula of the volume of the cone is V = π r² h, where

Let us find the height of the cone from the formula of its volume

∵ V = π r² h

- Multiply both sides by 3

∴ 3 V = π r² h

- Divide both sides by π r²

∴

- Switch the two sides

∴

The expression can be used to find h is  

∵ The radius of the cone is 7 cm

∴ r = 7

∵ The volume of the cone is 147 cm³

∴ V = 147

- Substitute them in the expression of the height to find it

∵  

∴ h = cm

The height of the cone is cm

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step-by-step explanation: