The word 'circus' has the same root as 'circle'. In a closed circular area, various entertainment acts including human skill and animal training are presented before the crowd.

A circus tent is cylin

Question

The word 'circus' has the same root as 'circle'. In a closed circular area, various entertainment acts including human skill and animal training are presented before the crowd.

A circus tent is cylindrical upto a height of $8$ m and conical above it. The diameter of the base is $28$ m and total height of tent is $18.5$ m.

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Based on the above, answer the following questions:
(i) Find slant height of the conical part.
(ii) Determine the floor area of the tent.
(iii) (a) Find area of the cloth used for making tent.

**OR**

(iii) (b) Find total volume of air inside an empty tent.

Accepted Answer

Step 1: (i) Height of conical part $= 18.5 - 8 = 10.5$ m. Radius of conical part $= 14$ m.
Slant height $= \sqrt{(10.5)^2 + (14)^2} = \sqrt{110.25 + 196} = \sqrt{306.25} = 17.5$ m
Step 2: (ii) Floor area $= \frac{22}{7} 	imes 14 	imes 14 = 616$ m$^2$
Step 3: (iii)(a) Area of cloth $= 2 	imes \frac{22}{7} 	imes 14 	imes 8 + \frac{22}{7} 	imes 14 	imes 17.5$
Step 4: $= 704 + 770 = 1474$ m$^2$

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Solution