sita is on her way to home saw some homeless persons sleeping in the park in a winter night. she gave them a canvas of area 551 m^2? they uses it to make a conical tent with the base radius of 7 m. assuming that all the stitching, margin and wasted the canvas while cutting, amounts to approximataly 1 m^2 find the volume of the tent that van br madr with it. which value is depicted by sita?
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Answer:
1232 m cube
Step-by-step explanation:
r = 7m
total canvas = 551 m sq.
wasted portion = 1 m sq.
551 = wasted+ CSA of cone
551=1 + pi *r*l
550=22/7 * 7 * L
550*7/22*7=L
550/22=L
l = 25m
l = slant height
h= \sqrt{l^2 - r^2}
h= \sqrt{25^2 - 7^2}
h= \sqrt{625 - 49}
h= \sqrt{576}
=> h= 24m
volume of cone = 1/3* pi * r^2 * h
= 1/3 * 22/7*7*7 * 24
= 1232 m cube.
therefore the volume of cone = 1232 m^3
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