Question

How many spherical balls of radius 2cm can be made out of a solid cuboid measuring 22cm*16cm*8cm​

Answer 1

Volume of Sphere = $\frac{4}{3} \pi r {}^{2} = \frac{4 \times 22 \times 4}{3 \times 7}$

Volume of cuboid = l × b × h = 22×16×8 cm^3

No of balls = Volume of cuboid/ volume of sphere
= $\frac{22 \times 16 \times 8}{ \frac{4 \times 22 \times 4}{3 \times 7} } = \frac{22 \times 16 \times 8 \times 3 \times 7}{4 \times 22 \times 4} = 8 \times 3 \times 7 = 168 \: balls$