A cone of height 24 cm has a curved surface area of 550 cm^2 find the volume of the cone.
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l^2 = r^2 + 24
l^2 = r^2 + 576
l = √r^2 + 576
csa = 550
πrl = 550
22/7 * r * √r^2 + 576
r√r^2 + 576 = 550* 7/22
r √r^2 + 576 = 25* 7
r^2 (r^2 * 576) = (25* 7)^2
r^4 + 576r^2 - (25^2 * 7^2) = 0
r^4 + 576r^2 - ( 625 * 49 ) = 0
r^4 + 625r^2 - 49r^2 - 625 * 49 = 0
r^2 ( r^2 + 625) - 49 (r^2 + 625) = 0
(r^2 + 625) ( r^2 - 49) = 0
r^2 - 49 = 0
r= 7
volume = 1/3πr^2h
1/3 * 22/7 * (7)^2 * 24
3696 / 3
1232cm^3..
hope it helps.....
please mark as brainlist..........
l^2 = r^2 + 576
l = √r^2 + 576
csa = 550
πrl = 550
22/7 * r * √r^2 + 576
r√r^2 + 576 = 550* 7/22
r √r^2 + 576 = 25* 7
r^2 (r^2 * 576) = (25* 7)^2
r^4 + 576r^2 - (25^2 * 7^2) = 0
r^4 + 576r^2 - ( 625 * 49 ) = 0
r^4 + 625r^2 - 49r^2 - 625 * 49 = 0
r^2 ( r^2 + 625) - 49 (r^2 + 625) = 0
(r^2 + 625) ( r^2 - 49) = 0
r^2 - 49 = 0
r= 7
volume = 1/3πr^2h
1/3 * 22/7 * (7)^2 * 24
3696 / 3
1232cm^3..
hope it helps.....
please mark as brainlist..........
maroofahmad88:
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beautiful eyes!
nice answer
thanks
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