In a summer camp Neha needs some canvas to make a tent in the form of cylindrical width and conical top of radius 5 m, total height is 23 m and the height of the conical part is 3 m. How much canvas she needs to make the tent? If price of 1 m2 is Rs.50, then what is the total cost of canvas?
In a summer camp Neha needs some canvas to make a tent in the form of cylindrical width and conical top of radius 5 m, total height is 23 m and the height of the conical part is 3 m. How much canvas she needs to make the tent? If price of 1 m2 is Rs.50, then what is the total cost of canvas? Correct Answer <p>229.15π m<sup>2</sup> and Rs.11457.5π </p>
Given:
Radius of tent = 5m
Height of cylinder and cone = 23m
Height of the conical part = 3m
Formula used:
Total surface area of tent = 2πrh + πrl
Calculation:
Total surface area of tent = curve surface area of cylindrical part + curve surface area of conical part
⇒ Total surface area of tent = 2πrh + πrl
⇒ Total surface area of tent = πr(2h + l)
⇒ Total surface area of tent = π × 5 (2 × 20 + √34)
⇒ Total surface area of tent = 5π(40 + 5.83) = 229.15π m2
⇒ Total cost of canvas = 50 × 229.15π
⇒ Total cost of canvas = Rs. 11,457.5π
