Question

39. A tent is cylindrical up to 3m and after that its shape is conical, total height of the
tent is 13.5m and radius of its base is 14m. Find the amount spent on the cloth
required to make the tent at the rate of rupees 80 per square meter.​

Answer 1

Answer:

CSA of cylinder =2πrh

\begin{lgathered}2 \times \frac{22}{7} \times 14 \times 3 \\ = 264 {m}^{2}\end{lgathered}

2×

7

22

×14×3

=264m

2

radius=14m

height =13.5-3=10.5

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

2

=r

2

+h

2

\begin{lgathered}14 { }^{2} + 10.5 { }^{2} \\ 196 + 110.25 \\ = 306.25 \\ l \sqrt{306.25 } \\ l = 17.5m\end{lgathered}

14

2

+10.5

2

196+110.25

=306.25

l

306.25

l=17.5m

CSA of cone =πrl

\begin{lgathered}\frac{22}{7} \times 14 \times 17.5 \\ = 770 {m}^{2}\end{lgathered}

7

22

×14×17.5

=770m

2

total area=264+770

1034 {m}^{2}1034m

2

cost of cloth per square m = Rs80

cost of cloth

1034 {m}^{2}1034m

2

\begin{lgathered}80 \times 1034 \\ = 82720\end{lgathered}

80×1034

=82720

Answer 2

The amount spent on the cloth  required to make the tent at the rate of rupees 80 per square meter is Rs.82720

Step-by-step explanation:

We are given that A tent is cylindrical up to 3m and after that its shape is conical

Height of cylinder = 3 m

radius of cylinder = 14 m

Curved surface area of cylinder = $2 \pi rh = 2 \times \frac{22}{7} \times 14 \times 3 = 264 m^2$

Height of cone = Total height of tent - Height of cylinder

Height of cone = 13.5 - 3

Height of cone = 10.5 m

Curved surface area of cone =$\pi r \sqrt{h^2+r^2}$

Curved surface area of cone =$\frac{22}{7} \times 14 \times \sqrt{10.5^2+14^2}=770 m^2$

Total area of tent = 264+770=1034 sq.m.

Cost of 1 sq.m. cloth = Rs.80

Cost of 1034 sq.m. cloth = $80 \times 1034 = Rs.82720$

Hence the amount spent on the cloth  required to make the tent at the rate of rupees 80 per square meter is Rs.82720

#Learn more;

A tent in the shape of a right circular cylinder up to a height of 3m and conical above it. The total height of the tent is 13.5m and the radius of its base is 14m. Find the cost of cloth required to make the tent at the rate of Rs 80 per square metre

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