Question

A cylindrical base of
radius 15 cm is filled with water up to a certain height. If a cuboid of dimensions 10 cm x
12 cm x 15 cm is immersed in it, find the level of rise in the water.​

Answer 1

Step-by-step explanation:

Given :-

A cylindrical base of radius 15 cm is filled with water up to a certain height. If a cuboid of dimensions 10 cm x 12 cm x 15 cm is immersed in it,

To Find :-

Height

Solution :-

We know that

${\boxed{\pmb{\bf Volume_{(Cylinder)}=\pi r^2h}}}$

${\boxed{\pmb{\bf Volume_{(Cuboid)}=l\times b\times h}}}$

Let the height be h

$\sf \: \pi r {}^{2} h = l \times b \times h$

$\sf \implies \: \dfrac{22}{7} \times(15) {}^{2} \times h = 10 \times 12 \times 15$

$\sf \implies \: \dfrac{22}{7} \times 225 \times h = 1800$

$\sf \implies \: h = \dfrac{1800 \times 7}{22 \times 225}$

$\sf \implies \: h = \dfrac{12614}{4950}$

$\sf \implies \: h = 2.54 \: cm$