Question
6.58PM Thu Jan 23 Done AA quizizz.com \( 16 / 20 \) What is the radius of a sphere that has a volume of \( \frac{32}{3} \pi \) cubic inches? Type only the numeric value; you do not need to label your answer. Type your answer in the boxes \( \square \)
Ask by Wood Bryant. in the United States
Jan 24,2025
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2
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To find the radius of the sphere with a volume of \( \frac{32}{3} \pi \) cubic inches, we can use the formula for the volume of a sphere, which is: \[ V = \frac{4}{3} \pi r^3 \] Setting the volume equal to \( \frac{32}{3} \pi \) and solving for \( r \): \[ \frac{4}{3} \pi r^3 = \frac{32}{3} \pi \] Dividing both sides by \( \pi \) and then multiplying by \( \frac{3}{4} \): \[ r^3 = 8 \] Taking the cube root: \[ r = 2 \] The answer is: 2