Question : A cylindrical pillar is 84 cm in diameter and 5 m in height. Find the cost of painting the curved surface of the pillar at the rate of INR 15 per m². (Use $\pi=\frac{22}{7}$)
Option 1: INR 198
Option 2: INR 184
Option 3: INR 208
Option 4: INR 216
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Correct Answer: INR 198
Solution :
Diameter of cylinder, $2r$ = 84 cm
Radius of cylinder, $r$ = $\frac{84}{2}$ = 42 cm = 0.42 m
Height of cylinder, $h$ = 5 m
The curved surface area of the cylinder
= $2\pi rh$
= $2\times \frac{22}{7}\times 0.42\times 5$
= $13.2$ m
2
Cost of painting at the rate of INR 15 per m² = 13.2 × 15 = INR 198
Hence, the correct answer is INR 198.
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