Question

The volume of a sphere is 40664 cm³.

Calculate the radius of the sphere.
Volume of sphere = π³
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cm

Answer 1

The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.

We are given that the volume of the sphere is 40664 cm³. We can use this information to solve for the radius:

V = (4/3)πr³
40664 = (4/3)πr³

Dividing both sides by (4/3)π gives:

r³ = 40664 / ((4/3)π)
r³ = 12167.6667

Taking the cube root of both sides gives:

r = 23.14 cm (rounded to two decimal places)

Therefore, the radius of the sphere is approximately 23.14 cm.

Answer 2

The radius is approximately 21.33 cm.

Explanation:

Using the formula V = 4/3 πr³, we can just substitute the value of the given volume and solve for r.

V = 40664cm³

Substitute the given and solve for r

V = 4/3 πr³

40664cm³ = 4/3πr³

`(3(40664cm^3))/(4\pi)=r^3\\9707.81 = r^3\\ r = 21.33`