The radius and height of a solid right circular cylinder are 12 and 15 resp. It is melted and moulded into 480 uniform spherical balls. find the radius of each of the balls formed?
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Answer:
3/2 units
Step-by-step explanation:
Cylinder:
r = 12 and h = 15
Volume of cylinder v = πr²h = 22/7 * 144 * 15 = 2160π cubic units
Sphere:
Let r be the radius of Sphere.
Volume of 1 sphere = 4/3πr³
Volume of 480 spherical balls = 480 * 4/3πr³ = 640πr³ cubic units.
But volume of 480 spheres = Volume of cylinder
=> 640πr³ = 2160π
=> r³ = 2160 / 640 = 27/8
=> r = 3/2.
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