Question

The volume of a cylinder is 180π cubic meters. The height of the cylinder is 11.25 meters. What is the radius of the cylinder?

Answer 1

• Radius = 4 meters.

Step-by-step explanation :

It's given that :

The volume of a cylinder is 180π cubic meters. The height of the cylinder is 11.25 meters.

Formula of volume of cylinder = πr²h

where,

• r denotes radius of the cylinder
• h denotes height of the cylinder.

By substituting the values of values of height and volume in the above formula we'll get the required value of the radius.

`:\implies` 180π = πr² 11.25

`:\implies` 180π = r² × 11.25 π

`:\implies` 180π/11.25 π = r²

`:\implies` 16 = r²

`:\implies` r² = √16

`:\implies` r = 4

Hence, Radius of the cylinder is 4 meters.

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