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Question
What is the approximate radius of a sphere whose volume is 1,349 cm³?
(1 point)
Responses
5.7 cm
5.7 cm
6.9 cm
6.9 cm
11 cm
11 cm
14.7 cm
14.7 cm
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To find the approximate radius of a sphere, we can use the formula for the volume of a sphere:
V = (4/3)πr³
where V is the volume and r is the radius.
Given that the volume of the sphere is 1,349 cm³, we can rearrange the formula to solve for r:
r³ = (3V) / (4π)
r³ = (3 * 1349) / (4π)
r³ = 4047 / (4π)
r³ ≈ 323.06
Taking the cube root of both sides, we find:
r ≈ 6.96
So, the approximate radius of the sphere is 6.96 cm. Therefore, the closest option is 6.9 cm.