Question

Question No: 10
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?
m
1.5
2
1.75
2.25​

Answer 1

Answer:

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㎤