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CBSE Class 10 Maths (Standard) 2022 · Paper 30/2/1 · Question 14

Surface Areas and Volumes 4 marks Medium
Case Study - 2 A 'circus' is a company of performers who put on shows of acrobats, clowns etc. to entertain people, started around 250 years back, in open fields, now generally performed in tents. One such 'Circus Tent' is shown below. The tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 9 m and 30 m respectively, and the height of the conical part is 8 m with same diameter as that of the cylindrical part, then find:
15 m 8 m l 9 m Cylinder (h = 9 m) topped by cone (h = 8 m), r = 15 m
Cylinder surmounted by a cone - tent model
  1. 1The area of the canvas used in making the tent.[2]
  2. 2The cost of the canvas bought for the tent at the rate of Rs 200 per sq m, if 30 sq m canvas was wasted during stitching.[2]

Answer

Part (1): canvas area m. Part (2): cost Rs 3,36,000.

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