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Solution


Q.

Due to heavy floods in a state, thousands were rendered homeless. 50 schools collectively decided to provide place and the canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 m and height 3.5 m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs.120 per m2 , find the amount shared by each school to set up the tents.

Ans.

(332640)

Radius of the base of cylinder (r) = 2.8 m = Radius of the base of the cone (r)

Height of the cylinder (h) = 3.5 m

Height of the cone (H) = 2.1 m

Slant height of conical part (l)=(r2+H2)=[(2.8)2+(2.1)2]=(7.84+4.41)=12.25=3.5 m

Area of canvas used to make tent = CSA of cylinder + CSA of cone =2πrh+πrl

=πr(2h+l)=227×2.8×(7+3.5)=22×0.4×10.5=92.4m2

Cost of 1500 tents at Rs.120 per sq.m = 1500 × 120 × 92.4 = 1,66,32,000

Share of each school to set up the tents = 16632000/50 = Rs.3,32,640