Can someone fill this in for me (it doesn’t have to be accurate)

Biology

1 answer:

anygoal [31]3 years ago

8 0

Can you add it again

the image is looking too blurry in my computer

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The answer is 51.0 ml but can someone explain why please

professor190 [17]

Answer:

$\boxed{\sf A. \ 51 \ mL}$

Explanation:

Amount of water displaced by the sphere will be equal to the volume of complete sphere.

As the sphere completely sinks to the bottom of the cup.

We have been given;

Diameter of sphere (d) = 4.6 cm

So,

$\sf Radius \: of \: sphere \: (r) = \frac{Diameter \: of \: sphere \: (d)}{2} \\ \sf = \frac{4.6}{2} \\ \sf = 2.3 \: cm$

Volume of sphere (V):

$\boxed{ \bold{V = \frac{4}{3} \pi {r}^{3} }}$

By substituting value of r we get:

$\sf \implies V = \frac{4}{3} \times \pi \times {(2.3)}^{3} \\ \\ \sf \implies V = \frac{4}{3} \times 3.14 \times 12.167 \\ \\ \sf \implies V = \frac{152.81752}{3} \\ \\ \sf \implies V = 50.94 \: {cm}^{3} \\ \\ \sf \implies V \approx 51 \: {cm}^{ 3}$