Question

Q10
A cylindrical vessel of radius 30 cm and height
42 cm is full of water. Its contents are emptied
into a rectangle tub of length 75 cm and
breadth 44 cm. The height (in cm) to which the
water rise in the tub is (Take a = 22)
36
45
40
30​

Answer 1

Answer:

Increase in volume of cylinder = volume of sphere

Let increase in volume of cylinder be =πr

2

h, where r is its radius and h is its height.

So, πr

2

h=

3

4

πr

3

⇒16πh=

3

4

π3

3

where radius of the cylinder=4cm and radius of the sphere=3cm

⇒h=

3

4

×

16

27

=

16

36

=

4

9

=2.25cm

∴ water rises by 2.25cm in the vessel.

Explanation:

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