Q. 104.6( 40 Votes )

# A tent is in the

Answer :

The tent is made as a combination of right circular cylinder and right circular cone on top.

Height of cylindrical part of the tent = h = 3 m

Radius of its base = r = 14 m

Curved surface area of cylindrical part of tent = 2πrh

= 2 × 22/7 × 14 × 3 m^{2}

= 264 m^{2}

Total height of the tent = 13.5 m

Height of conical part of the tent = total height of tent – height of cylindrical part.

Height of conical part of the tent = 13.5 – 3 m =10.5 m

Let the slant height of the conical part be l

l^{2} = h_{cone}^{2} + r^{2}

l^{2} = 10.5^{2} + 14^{2} = 110.25 + 196 m^{2} = 306.25 m^{2}

l = 17.5 m

Curved surface area of conical part of tent = πrl

= 22/7 × 14 × 17.5 m^{2}

= 770 m^{2}

Total surface area of tent = Curved surface area of cylindrical part of tent + Curved surface area of conical part of tent

Total Surface area of tent = 264 m^{2} + 770 m^{2} = 1034 m^{2}

Cloth required = Total Surface area of tent = 1034 m^{2}

Cost of cloth = Rs 80/m^{2}

Total cost of cloth required = Total surface area of tent × Cost of cloth

= 1034 × Rs 80

= Rs 82720

Cost of cloth required to make the tent is Rs 82720

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