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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?
4.6 cm
O A. 51.0 ml
OB. 66.5 ml
O C. 88.6 mL
O D.407.7 ml

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? 4.6 cm O A. 51.0 ml OB. 66.5 ml O class=

Answer :

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 = [tex]\frac{4}{3}\pi r^3[/tex]

where,

r = radius of sphere

Given:

Diameter of sphere = 4.6 cm

Radius of sphere = [tex]\frac{Diameter}{2}=\frac{4.6cm}{2}=2.3cm[/tex]

So,

Volume of sphere = [tex]\frac{4}{3}\times 3.14\times (2.3cm)^3[/tex]

Volume of sphere = [tex]50.94cm^3\approx 51.0 cm^3[/tex]

Water displaced = Volume of sphere = [tex]51.0 cm^3[/tex]

We know that:

[tex]1cm^3=1mL[/tex]

So,

Water displaced = 51.0 mL

Therefore, the correct option is (A) 51.0 mL

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