Question
The base radius of a cylinder is 5/3 times its height. The cost of painting its C.S.A. at 2 paise/cm2 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/cm2 and the total cost is Rs 92.40.
Therefore, the CSA of the cylinder is 92.40/2 = 46.2 cm2.
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 cm3
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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