# ICSE Class 10 Answered

**A manufacturer of foam-filled beach balls packs each one into a cubic box of side 40 cm into which it will just fit. Calculate the volume of (i) box (i) ball (iii) śpace wasted, which is the space inside the box, not occupied by the ball. The manufacturer later decides to use boxes of the same size to pack 8 smaller beach balls of diameter 20 cm each. Will there be more or less wasted space? Take**

Asked by Pankaj | 30 Sep, 2018, 10:24: PM

Expert Answer

Volume of box = 40

^{3}=64000 cm^{3}let the radius of ball be r

now r =half of side(cube)=20 cm

volume of ball=4/3×pi×r

^{3}=33493.33cm^{3}Space wasted = 30506.667cm

^{3}(difference)new sphere

r =10 cm

volume of ball=4/3×pi×r

^{3}=4186.667 cm^{3}volume of 8 balls =33493.33 cm

^{3}Space wasted = 30506.667 cm

^{3}same

Answered by Arun | 05 Oct, 2018, 10:47: AM

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