Monica has a piece of canvas with an area of 551 m2. He uses the piece to make a cone-shaped tent with a radius of 7m base. Finding the volume of the tent if 1m2 is 4 wasted in taking and cutting stitches. (There is no canvas in the base of the tent)
Answers
Given : Monica has a piece of canvas with an area of 551 m².
Uses the piece to make a cone-shaped tent with a radius of 7m base.
1m² is wasted in taking and cutting stitches. (There is no canvas in the base of the tent)
To Find : volume of the tent
Solution:
a piece of canvas with an area of 551 m².
1 m² is wasted
Hence Surface area = 551 - 1 = 550 m²
as no base is there
so Curve surface area of cone = 550 m²
Curve surface area of cone = πrl
=> πrl = 550
=> (22/7) * 7 * l = 550
=> l = 25 m
l = slant height
h² = 25² - 7²
=> h = 24 m
Volume = (1/3) πr²h
= ( 1/3) (22/7) 7² * 24
= 22 * 7 * 8
= 1232 cm³
volume of the tent = 1232 cm³
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