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How many spherical solid marbles, each having a radius of 0.3 cm, can be made from a solid sphere having a radius of 6 cm?

A.7500

B8000

C8500

D9000

Answer:

B. 8000

Read Explanation:

it is done by comparing the volumes

volume of big sphere = n x volume of small sphere

volume of sphere = 43πr3\frac43 \pi r^3

to find the n just equate the "r" part only

R3=n×r3R^3=n \times r^3

63=n(0.3)36^3=n(0.3)^3

216=n0.027216=n 0.027

n=8000n=8000


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