Question

Monica has a piece of canvas whose area is 553m2.She uses it to make a conical tent of base radius 7m. Assuming wastage incurred is 3m2, find the volume of the tent.

Answer 1

Answer:

Take π = 22/7 ]

radius (r) = 7 cm

Curved surface area of the conical tent = Area of the of the canvas - area of the wastage used

= 551 m² - 1 m²

= 550 m²

=> πrl = 550 m²

=> l = ( 550 )/22

=> l = 25 m

=> h² = 25² - 7²

=> h² = 625 - 49

=> h² = 576

=> h = √576

=> h = √24²

=> h = 24 m

Now ,

V = (1/3) × (22/7) × 7² × 24

= (22×7×7×24)/(3×7)

= 22×7×8

= 1232 m³

Therefore,

Volume of the conical tent (V) = 1232 m³

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