What is the value of x if the volume of the cone is 12 pi m³

Solution:

Given, volume of the cone = 12π m³

From the figure,

Diameter of base = 6m

Radius, r = 6/2 = 3m

We have to find the height of the cone.

Volume of the cone = [area of the base × height]/3

Area of the base = πr²

Area of the base = π(3)²

Area of the base = 9π

Substitute the value of area of the base in above formula,

12π = 9π × (h/3)

h/3 = 12π/9π

h/3 = 4/3

h = 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 12 pi m³

Summary:

The value of x if the volume of the cone is 12 pi m³ is 4m.