Question

A cylindrical box of height 4 m contains the largest sphere which can be kept in it. If the upper surface of the ball is 0.5 m below the top surface of the cylinder, what is the radius (in m) of the sphere​

Answer 1

Answer:

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Step-by-step explanation:

Diameter of the spheres=10cm

10 such spheres fit in the cylinder. So, the height of the cylinder=10×10=100

Volume of the cylinder= Base area x height = π×r

2

×height=π×25×100=2500π㎤

Volume of each of the spheres is

3

4

πr

3

Volume of 10 spheres is

10×

3

4

πr

3

=1250×

3

4

π㎤

Volume of the empty space is

2500π−1250×

3

4

π

=

3

2500

π㎤