Question

Two similiar cups are 3cm and 5cm deep.If the larger cup holds 625 cm of water,what is the volume of the smaller

Answer 1

Given :

Two similar cups are 3cm and 5cm deep. If the larger cup holds 625 cm cube.

To find :

What is the volume of the smaller one?

Solution :

If the larger cup holds i.e. V=625 cm cube.

The height of the larger cup is 5 cm.

The volume of cup is V=\pi r^2 h

625=\frac{22}{7}\times r^2\times 5

r^2=\frac{625\times 7}{22\times 5}

r^2=39.7

r=\sqrt{39.7}

r=6.3

As the cups are similar the radius of smaller cup is 6.3 cm.

The height of smaller cup is 3 cm.

The volume of the smaller cup is v=\pi r^2 h

v=\frac{22}{7}\times 6.3^2\times 3

v=374.22\ cm^3

Therefore, The volume of the smaller cup is 374.22 cm cube.

Answer 2

Step-by-step explanation:

Smaller cup holds 374.22cm of water