Question:
If a sphere has a volume of \(268.08 \, \text{in}^3\), what is the approximate radius of the sphere?
If a sphere has a volume of \(268.08 \, \text{in}^3\), what is the approximate radius of the sphere?
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Sphere volume formula: \(V = \tfrac{4}{3}\pi r^3\).
Updated On: Oct 3, 2025
- 8 in
- 4 in
- 64 in
- 4.5 in
- 5.9 in
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The Correct Option is B
Solution and Explanation
Step 1: Formula for volume of sphere.
\[ V = \frac{4}{3}\pi r^3 \] Step 2: Substitute given volume.
\[ 268.08 = \frac{4}{3}\pi r^3 \] \[ r^3 = \frac{268.08 \times 3}{4\pi} \approx 63.9 \] Step 3: Cube root.
\[ r \approx \sqrt[3]{63.9} \approx 4 \] Final Answer:
\[ \boxed{4 \ \text{inches}} \]
\[ V = \frac{4}{3}\pi r^3 \] Step 2: Substitute given volume.
\[ 268.08 = \frac{4}{3}\pi r^3 \] \[ r^3 = \frac{268.08 \times 3}{4\pi} \approx 63.9 \] Step 3: Cube root.
\[ r \approx \sqrt[3]{63.9} \approx 4 \] Final Answer:
\[ \boxed{4 \ \text{inches}} \]
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