What is the value of x if the volume of the cone is 12πm³? X is the height of the cone.
4m, 5m, 6m, 10m

Solution:

Given, the volume of the cone = 12πm³

Height of the cone = X m

From the figure, diameter = 6m

Radius, r = 6/2 = 3m

We have to find the value of X.

Volume of the cone = (1/3)πr²h

So, 12π = (1/3)π(3)²(X)

By further calculation

12 =(1/3)9X

12 = 3X

So we get

X = 12/3

X = 4 m

Therefore, the value of X is 4m.

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What is the value of x if the volume of the cone is 12πm³? X is the height of the cone.

Summary:

The value of X if the volume of the cone is 12πm³ and X is the height of the cone is 4m.