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A circus is to be erected in the form of a cone surmounted on a cylinder. The total height of the tent is 49m. Diameter of the base is 42m and the height of the cylinder is 21m21m. Find the cost of canvas needed to make the tent, if the cost of canvas is Rs. 12.50/m2Rs. 12.50/m2. (Take π = $\frac{22}{7}$ ).

Chapter/Topic: Surface areas and volumes

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43525

53525

63578

63525

answer is D.

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Detailed Solution

Cylinder:

Diameter =42 m , Radius (r)=21 m
Height (h)=21 m
Curved Surface area of Cylinder =2πrh

m^{2}

=2×

\frac{22}{7}

×21×21
=2772

m^{2}

Cone:
Radius (r)=21 m, Height (h)=28 m
l=

\sqrt{h^{2} + r^{2}}

\sqrt{28^{2} + 21^{2}}

\sqrt{1225}

=35 m
Curved surface area of cone =πrl

m^{2}

\frac{22}{7}

×21×35=2310

m^{2}

Total surface area of circus tent=2772+2310=5082

m^{2}

The cost of 1

m^{2}

= Rs. 12.50
Total cost of canvas =5082×12.50= Rs. 63,525
Hence, Option (4) is the correct answer.

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