a solid cone of lead having radius 8cm and height 15 cm is melted to form solid spherical marble. how many marbles can be made if each marble is 4 cm in diameter.
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No. of marbles = Volume of cone / Volume of sphere (or marbles)
Height of the cone = 15 cm
Radius of the cone = 8 cm
Radius of the sphere = 2 cm
No. of marbles = 1 / 3 π r^2 h / 4 / 3 π r^3
= r^2 h / 4 r^3
= 8 * 8 * 15 / 4 * 2 * 2 * 2
= 15 * 2
No. of marbles = 30
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