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
To find the 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.
We are given that the volume is 1,349 cm³. Plugging this into the formula, we have:
1,349 = (4/3)πr³
To solve for r, we can rearrange the equation:
r³ = (3/4) * (1,349 / π)
r³ ≈ 1,011.5
Taking the cube root of both sides, we get:
r ≈ 10.7
So the approximate radius of the sphere is 10.7 cm.