Question 330527
A metallic sphere of radius of 21/2 cm is melted down and then recast into small cones of radius 7/2 cm and height 3 cm each.how many of such cones can be made.
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The volume of the sphere:
V = {{{4*pi*r^3/3 = 4*pi*10.5^3/3}}}
V = 1543.5 pi cc
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Vol of each cone:
{{{v = pi*r^2*h/3 = pi*3.5^2*3/3}}}
v = 12.25 pi cc
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1543.5 pi/(12.25 pi) = 126 cones