Question

5. The sphere shown below is placed in a full overflow cup and sinks to the bottom. How much water is displaced by the sphere?

Answer 1

Answer : The correct option is (A) 51.0 mL

Explanation :

As we know that water displaced is equal to the volume of sphere.

Now we have to determine the volume of sphere.

Formula used:

Volume of sphere = $\frac{4}{3}\pi r^3$

where,

r = radius of sphere

Given:

Diameter of sphere = 4.6 cm

Radius of sphere = $\frac{Diameter}{2}=\frac{4.6cm}{2}=2.3cm$

So,

Volume of sphere = $\frac{4}{3}\times 3.14\times (2.3cm)^3$

Volume of sphere = $50.94cm^3\approx 51.0 cm^3$

Water displaced = Volume of sphere = $51.0 cm^3$

We know that:

$1cm^3=1mL$

So,

Water displaced = 51.0 mL

Therefore, the correct option is (A) 51.0 mL