Q. 44.3( 256 Votes )

# A conical tent is 10 m high and the radius of its base is 24 m. Find

(i) Slant height of the tent.

(ii) Cost of the canvas required to make the tent, if the cost of 1 m^{2} canvas is Rs 70

Answer :

(i) Let ABC be a conical tent.

Height (h) of conical tent = 10 m

Radius (r) of conical tent = 24 m

Let the slant height of the tent be l.

In ΔABO,

AB^{2} = AO^{2} + BO^{2}

l^{2} = h^{2} + r^{2}

= (10 m)^{2} + (24 m)^{2}

= 676 m^{2}

l = 26 m

(ii) CSA of tent =

= * 24 * 26

= m^{2}

Cost of 1 m^{2} canvas = Rs 70

So, cost of m^{2} canvas = ( m^{2} * 70)

= Rs 137280

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