Question

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? ​

Answer 1

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