Maths-

General

Easy

Question

# The sum of the radius and height of a cylinder is 21 cm and the T.S.A of the cylinder is 660 sq. cm. Find the height and volume of the cylinder ?

Hint:

### We take suitable variables for height and radius. Put it in the formula for TSA and find the required parameters.

## The correct answer is: The height of the cylinder is 16 cm and the volume is 400π cm3.

### Explanations:

Step 1 of 2:

Let the height of the cylinder be h .

Sum of the radius and height is 21 cm, so the radius will be cm.

Given, TSA of the cylinder = 660

So, r = 21 – 16= 5 cm

Step 2 of 2:

Volume of the cylinder =

cm^{3}

Final Answer:

The height of the cylinder is 16 cm and the volume is 400 cm^{3}.

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