a cone of height 24 cm has a curved surface area 550 cm2 .find its volume
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height = 24cm
Let rcm and lcm be the radius and slant height of the cone. curved surface area = 550cm2
πrl = 550cm2
squaring both sides
r2[r2 + 576 ] = [175]2 =30625
r4 + 576 r2 - 30625 = 0
r4 + 625 r2 - 49r2 - 30625 = 0
r2 [ r2 + 625 ] [ r2 - 49 ] = 0
r2 - 49 = 0 [ because r2 + 625 is not equal to 0 ]
r2 = 49
r = 7
the volume of cone is 1232cm3
Let rcm and lcm be the radius and slant height of the cone. curved surface area = 550cm2
πrl = 550cm2
squaring both sides
r2[r2 + 576 ] = [175]2 =30625
r4 + 576 r2 - 30625 = 0
r4 + 625 r2 - 49r2 - 30625 = 0
r2 [ r2 + 625 ] [ r2 - 49 ] = 0
r2 - 49 = 0 [ because r2 + 625 is not equal to 0 ]
r2 = 49
r = 7
the volume of cone is 1232cm3
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