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How many spheres of diameter 10cm can fit in a cylindrical jar of radius 15cm and height 20cm?

User Asiya
by
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1 Answer

6 votes

Answer:

The answer to your question is 3.38 spheres fit in the jar

Explanation:

Data

Sphere diameter = 10 cm

Cylindrical jar

radius = 15 cm

height = 20 cm

Formula

Volume sphere = 4/3 πr³

Volume cylinder = πr²h

Process

1.-Find the volume of the sphere and the volume of the cylinder

Volume sphere = 4/3π (10)³ = 1333.33π cm³

Volume cylinder = π(15)²(20) = 4500π cm³

2.- Divide the volume of the cylinder by the volume of the sphere

Number of spheres = 4500 π / 1333.33 π

= 3.38

User Chris Travers
by
5.0k points