Question

A cylindrical tin full of engine oil had 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 dept of the oil in the tin​

Answer 1

The depth of oil in the tin is 9cm

Explanation:

The first thing we need to do here is to calculate the volume of the cylindrical tin.

Mathematically, that would be;

V = pi * r^2 * h

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

h = 14 cm

Thus the volume would 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.

Now let’s say the height of the tin is x, this means its volume which is l * b * h = 16 * 11 * x = 176x

So the depth x would be;

176x = 1584

x = 1584/176 = 9 cm