Question

1. 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
○ 51.0 ml
○ 66.5 ml
○ 88.6 ml
○ 407.7 ml

Explanation:

Step1: Find sphere radius

The diameter is 4.6 cm, so radius $r = \frac{4.6}{2} = 2.3$ cm.

Step2: Calculate sphere volume

Use sphere volume formula $V = \frac{4}{3}\pi r^3$.
$$V = \frac{4}{3} \times \pi \times (2.3)^3$$
$$V = \frac{4}{3} \times \pi \times 12.167$$
$$V \approx 51.0 \text{ cm}^3$$

Step3: Convert volume to mL

Since $1 \text{ cm}^3 = 1 \text{ mL}$, displaced water = 51.0 mL.

Answer:

51.0 mL