Question

ismelda watches a soap bubble resting on a driveway. the bubble is in the shape of a hemisphere. when the bubble pops, the soap residue left behind is in the shape of a circle with the same diameter as the hemisphere. ismelda measures the diameter of the bubble as 6 inches. what volume of air was in the hemisphere before the bubble popped? (use 3.14 for \\(\pi\\). round the answer to the nearest tenth, if necessary. recall that the formula for volume of a sphere is \\(v = \frac{4}{3}\pi r^3\\).)

37.7 cu. in.
56.5 cu. in.
113.0 cu. in.
904.3 cu. in.

Explanation:

Determine the radius of the hemisphere

$$
LATEXBLOCK0
$$

Calculate the volume of the hemisphere

$$
LATEXBLOCK1
$$

Round to the nearest tenth

$$ V_{\text{hemisphere}} \approx 56.5\text{ cu. in.} $$

Answer:

• (A) 37.7 cu. in.
• (B) 56.5 cu. in. (Correct answer)
• (C) 113.0 cu. in.
• (D) 904.3 cu. in.