Question

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
• B. 8000
• C. 8500
• D. 9000

Answer 1

Answer:

B. 8000

it is done by comparing the volumes

volume of big sphere = n x volume of small sphere

volume of sphere = $\frac43 \pi r^3$

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

$R^3=n \times r^3$

$6^3=n(0.3)^3$

$216=n 0.027$

$n=8000$