Question

Due to sudden floods, some welfare associations jointly requested the government to get 100 tents fixed immediately and offered to contribute 50% of the cost. If the lower part of each tent is in the form if a cylinder of diameter 4.2m, and height is 4m with a conical upper part of same diameter but of height 2.8m and the canvas to be used cost RS.100 per sq.m. Find the amount the association will have to pay.



Please answer quick for 99 points

Answer 1

Cone, h = 2.8 , r = 2.1
L square = h square + r square
= 2.8 square + 2.1 square
Therefore, L = √12.25
= 3.5 cm

Area of canvas required for 1 tent
= 2πrh + πrl
= 2π × 2.1 × 4 + π × 2.1 × 3.5
= 16.8 π + 7.35 π
= 24.15 π
= 24.15 × 22/7 = 75.9m square

Therefore, Area of canvas required for 100 tents = 75.9 × 100
= 7590 m square

Cost of 1 m square = Rs.100
Therefore, cost of 7590 m square
= 7590×100
= Rs.759000

Amount association has to pay
= 759000 × 50/100
= Rs.379000

You're welcome :)

Answer 2

Hey mate ^_^

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Answer:
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Given:

$Height\: of:-$

=> Cylindrical part $= 4\:m$

=> Conical part $= 2.8\:m$

$Diameter \:of:-$

=> Cylindrical part$= 4.2 \:m$

=> Conical part$=4.2\:m$

$Radius\: of:-$

=> Cylindrical part$= 2.1 \:m$

=> Conical part$=2.1\:m$

$Now,$

Surface Area of tent = C. S. A of cylindrical part + C. S. A of conical part

$We\: know,$

C. S. A. of cylinder = $2\pi \:r\:h$

$So,$

C. S. A. of cylindrical part

$= 2 \times \frac{22}{7} \times 2.1 \times 4$

$= 2 \times 22 \times 0.3 \times 4$

$= 52.80m^{2}$

$And,$

C. S. A. of cone =$\pi\:r\:l$

Where, $l \: = \sqrt{h^{2} + r ^{2} }$

$So,$

C. S. A. of conical part

$= \frac{22}{7} \times 2.1 \times \sqrt{2.8 ^{2} + 2.1^{2} }$

$= 22 \times 0.3 \times \sqrt{7.84 + 4.41}$

$= 6.6 \times \sqrt{12.25}$

$= 6.6 \times 3.5$

$= 23.10m^{2}$

Surface area of tent

$= 52.80 + 23.10$

$= 75.90m^{2}$

$Now,$

Surface area of 100 tents

$= 100 \times 75.90$

$= 7590m^{2}$

$And,$

Rate of canvas is $100$per square meter.

$So,$

Cost of 100 tents

$= 100 \times 7590$

$= 759000$

$And,$

Association offered 50% of the cost.

$Now,$

Amount paid by association

$= 50\% \: of \: 759000$

$= \frac{759000 \times 50}{100}$

$= \frac{759000}{2}$

$= 379500$

Therefore,

Answer: $Rs. 375900$

#Be Brainly❤️