Question

What is the diameter of the cylinder

Answer 1

• Diameter of cylinder is 14 units.

Explamation :

Given :-

• Volume of cylinder = 245π cubic units
• Height of cylinder = 5 units

To Find :-

• Diameter of cylinder?

Solution :-

Firstly lets calculate radius of cylinder by using formula of volume of cylinder, as we know that;

• Volume of cylinder = πr²h

Putting all values we get;

➸ 245π = π × r² × 5

By cutting 'π' with 'π' we get;

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(7 × 7) = r²

➸ 7 = r

➸ r = 7 units

• Hence, radius of cylinder is 7 units.

Now lets calculate its diameter, as we know that;

• Diameter = Radius × 2

Putting all values we get;

➸ Diameter = 7 × 2

➸ Diameter = 14 units

• Hence, diameter of cylinder is 14 units.