Question

# The base radius of a cylinder is 5/3 times its height. The cost of painting its C.S.A. at 2 paise/cm^{2} is Rs 92.40. What volume of the paint is required?

Hint:

### The CSA of a cylinder is , where and are the base radius and height of the cylinder, respectively. Rate of cost for painting is (total cost/CSA). The volume of a cylinder is given by,.

## The correct answer is: The volume of the cylinder is 80.85 cm3

### Explanations:

Step 1 of 3:

The rate of cost of painting is given by 2 paise/cm^{2} and the total cost is Rs 92.40.

Therefore, the CSA of the cylinder is 92.40/2 = 46.2 cm^{2}.

Step 2 of 3:

Let base height be h. Then, base radius of the cylinder will be .

We have,

,discarding the negative value since distance must be positive

Step 3 of 3:

The volume of cylinder

Final Answer:

The volume of the cylinder is 80.85 cm^{3}

There is a small typo present in this question. We have to find the volume of the cylinder not of the paint.

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