A solid cylinder with a height of 8 units
A solid cylinder with a height of 8 units and a radius of 3.5 units is to be covered with a paper sheet. If the cost of the paper sheet is ₹40 per 5 square units, the cost (in₹) of covering the cylinder is ____________ (take\(\pi = \frac{22}{7}\))
8 इकाई ऊँचाई ओर 3.5 इकाई त्रिज्या वाले एक ठोस बेलन को एक कागज की शीट से ढंका जाना हैं। यदि काग़ज की शीट की लागत ₹40 प्रति 5 वर्ग इकाई हैं, तो बेलन को ढँकने की लागत (₹ में) ____________ होगी (\(\pi = \frac{22}{7}\)माने)
Detailed Solution & Logic
2024
$ r = 3.5 units ,h = 8 units
Curved surface area (CSA) = $ 2\pi r h = 2 \times \frac{22}{7} \times 3.5 \times 8 = 176\ \text{units}^2 $
Area of top and bottom= $ 2\pi r^2 = 2 \times \frac{22}{7} \times 3.5^2 = 77\ \text{units}^2 $
Total surface area = $ 176 + 77 = 253 \text{units}^2 $
Cost of paper per 5 units = ₹40
Total cost = $ \frac{253}{5} \times 40 = 50.6 \times 40 = ₹2024 $
Answer = ₹2024
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