Question

Use the volume formula for a sphere to determine how much air the beach ball can hold. Use 3.14 for π
.

Sphere: V=43πr3
(1 point)
Responses

75.36 in3
75.36 in3

150.72 in3
150.72 in3

10.47 in3
10.47 in3

904.32 in3
904.32 in3
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Answer 1

To find the volume of the beach ball using the formula for the volume of a sphere, \( V = \frac{4}{3} \pi r^3 \), we need to know the radius \( r \) of the beach ball.

Let's assume we have the radius of the beach ball; for example, if the radius is given as 3 inches:

1. Calculate \( r^3 \):
\[
r^3 = 3^3 = 27
\]

2. Substitute into the volume formula using \( \pi \approx 3.14 \):
\[
V = \frac{4}{3} \times 3.14 \times 27
\]

3. Calculate \( \frac{4}{3} \times 3.14 \):
\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]

4. Now multiply by 27:
\[
V \approx 4.1867 \times 27 \approx 113.04 \text{ in}^3
\]

Since I assumed a radius of 3 inches and calculated a volume of approximately 113.04 in³, it does not match any of the responses you provided.

If you have a specific radius for the beach ball or want to calculate for a different radius, please provide that, and I can help with the calculation accordingly!