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A Tent is in the Shape of a Right Circular Cylinder up to a Height of 3 M and Conical Above It. the Total Height of the Tent is 13.5 M and the Radius of Its Base is 14 M. Find the Cost of - Mathematics

Sum

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

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Solution

adius of the cylinder = 14 m
Radius of the base of the cone = 14 m
Height of the cylinder (h) = 3 m
Total height of the tent = 13.5 m
Surface area of the cylinder =`2pirh =(2xx22/7xx14xx3)m^2 = 264  m^2` 

Height of the cone= Total height - Height of cone = (13.5 - 3)m =10.5 m 

`"surface area of the cone" = pirsqrt(r^2 + h^2)`

`pirsqrt(r^2 + h^2) = (22/7xx14xx sqrt(14^2 + 10.5^2)) m^2`

`=(44xxsqrt(196 + 110.25)) m^2 =(44xxsqrt(14^2 + 10.5^2 ))`

`= (44xx 17.5)` m= 770 m  

Total surface area = (264 + 770 ) m2 = 1034 m2`

`cost of cloth = Rs 1034 × 80 = Rs 82720`

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Exercise 19A | Q 10 | Page 875
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