The circumference of the base of a 10 m height conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use π=22/7).

Question

The circumference of the base of a 10 m height conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use &#x3C0; =22/7).

Philoid · Accepted Answer

We have,

Circumference of circular base of cone = 2πr = 44 m

Height (h )= 10 m

= 2××r = 44 = r = 7m

Slant height (l ) = √(10²+7²) = √149 = 12.20 m

Curved surface area of tent = πrl = 22/7 ×7×12.20 = 268.4 m²

Hence, length of 2m wide canvas needed = 268.4/2 = 134.2 m