What is the formula for the volume of a cone

Posted By Admin @ September 03, 2022

Question:

Solve the formula for the volume of a cone for the height of the cone, h. The formula is: V = 1/3 pir^2h

Answer:

Answer:

h = \frac{3V}{\pi r^2}

Step-by-step explanation:

Since, the volume of a cone is,

V=\frac{1}{3}\pi r^2 h----(1)

Where, r is the radius,

h is the height,

From equation (1),

By cross multiplication,

3V=\pi r^2 h

Dividing both sides by \pi r^2,

\frac{3V}{\pi r^2}=h

Hence, the required formula for height of the cone, h is,

h = \frac{3V}{\pi r^2}

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