A cylindrical container has a diameter of 14cm and a height of 20cm and is full of water.A student pours the water into another cylinder of diameter 20cm .How deep is the water in the second cylinder?

Answer 1

First, we need to calculate the volume of water in the first cylinder:

Radius of the first cylinder = diameter/2 = 14cm/2 = 7cm
Volume = πr^2h
Volume = π(7cm)^2(20cm)
Volume = π(49cm^2)(20cm)
Volume = 980π cm^3

Now, we need to calculate the height of water in the second cylinder with a diameter of 20cm:
Radius of the second cylinder = diameter/2 = 20cm/2 = 10cm

Using the formula for volume of a cylinder:
Volume = πr^2h
980π = π(10cm)^2h
980 = 100h
h = 9.8cm

Therefore, the water in the second cylinder is 9.8cm deep.