SOLUTION: A cylindrical ingot 6cms. In diameter and 6cms. In height melted and 12
spheres, all of the same size, are made from the material obtained. What is the
diameter of each
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Question 978654: A cylindrical ingot 6cms. In diameter and 6cms. In height melted and 12
spheres, all of the same size, are made from the material obtained. What is the
diameter of each sphere?
Options: (a) 2cm
(b) 3 cm
(c) 4 cm
(d) 6 cm
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
volume of cylinder(V) = pi * r^2 * h where r is radius and h is height
V = (3.14) * 3^2 * 6 = 169.56 cm^3
note using pi = 3.14
now we divide the volume by 12, 169.56 / 12 = 14.13 cm^3
each of the 12 spheres has a volume of 14.13 cm^3
volume of a sphere is (4/3)*pi*r^3
14.13 = (4/3) * (3.14) * r^3
multiply both sides of = by 3
42.39 = 12.56 * r^3
divide both sides of = by 12.56
r^3 = 3.367834395
r = 1.498937677 approx 1.5
diameter = 2 * 1.5 = 3 cm
the answer is b
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