A cone of height 24cm has a curved srface area is 550cm. Find its volu

1.	A cone of height 24cm has a curved srface area is 550cm. Find its volume
Answer» Height = 24cm\xa0Let rcm and lcm be the radius and slant height of the cone. curved surface area = 550cm2πrl = 550cm2\xa0squaring both sides\xa0r2[r2 + 576 ] = [175]2 =30625r4 + 576 r2 - 30625 = 0r4 + 625 r2 - 49r2 - 30625 = 0\xa0r2 [ r2 + 625 ] [ r2 - 49 ] = 0\xa0r2 - 49 = 0 [ because r2 + 625 is not equal to 0 ]\xa0r2 = 49\xa0r = 7\xa0the volume of cone is 1232cm3 We have given height_24cm curved surface area of pai rl so 550-22/7into r into 24 so by solve this equation\'s we get 4point64

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