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The volume of a conical tent is 1232 cu. m and the area of its base is 154 sq. m. Find the length of the canvas required to build the tent, if the canvas is 2m in width. (Take π = (22/7)
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- 270 m
- 272 m
- 276 m
- 275 m
- 270 m
Correct Option: D
πr² = 154
| ⇒ | × r² = 154 | |
| 7 |
| ⇒ r² = | ⇒ r = 7 metre | |
| 22 |
| ∴ | πr²h = 1232 | |
| 3 |
| ⇒ | = | = 8 | ||
| 3 | 154 |
⇒ h = 24 metre
Area of canvas curved surface area of cone = πrl
= πr √h² + r²
| = | × 7 = √24² + 4²sq. metre | |
| 7 |
= 22 × 25 = 550 sq. metre
| ∴ Its length = | = 275 metre | |
| 2 |
