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Geometry question
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Sure :)
A sphere of diameter 12.6 cm is melted and cast into right circular cone of height 25.2 cm. find the diameter of the base of the cone?
\(a.)158.76~~cm\\ b.)79.38~~cm\\ c.)39.64~~cm\\ d.)none\\\)
books gives answer as \(b.)79.38\)
equate vol sphere 4/3*(pi)r^3 to cone =pi(R^2)/3*(h) of course the radius is different 4/3(pi)(12.6/2)^3= pi(d^2)/4* 25.2 solve for Dia.=?
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d=12.6 ?
that's what I get so answer D
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