Question

Two similar cups are 3cm and 5cm deep. If the larger cup holds 625cmsquare .What is the volume of the smaller one?

Answer 1

Answer:

Step-by-step explanation:

143cm

Answer 2

The volume of the smaller cup is 374.22 cm cube.

Step-by-step explanation:

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.

#Learn more

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