The circumference of the base of a 10 m height conical tent is 44 mete

1.	The circumference of the base of a 10 m height conical tent is 44 meters. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use π=22/7).
Answer» We have, Circumference of circular base of cone = 2πr = 44 m Height (h )= 10 m = 2×\(\frac{22}{7}\) × 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

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

Answer»

We have,

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

Height (h )= 10 m

= 2×\(\frac{22}{7}\) × 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