Question

A cylindrical tin full of engine oil has a diameter of 12cm and a height of 14cm.The oil is poured into a rectangular tin 16cm long and 11cm wide. What is the depth of the oil in the tin?​

Answer 1

Depth = 9 cm

Step-by-step explanation:

First, calculate the volume of the cylindrical tin.

Mathematically, that would be the following:

`V = \pi * r^(2) * h`

Now, r = d/2 = 12/2 = 6 cm

h = 9 cm

Therefore, the volume will be:

V = 22/7 * 14 * 6^2 =1,584 cm^3

Now, to find the the depth of the tin, we have to realize that the content of the cylinder should fill in the tin to a particular height.

As we don't have the height of the tin so let's suppose it x, now it means that

l * b * h = 16 * 11 * x = 176x

Therefore, the depth would be:

176x = 1584

x = 1584 / 176 = 9 cm