Question

The volume of a sphere is 48 $\pi$ cm^3, then diameter is ________
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Answer 1

Answer:

Hope this will help you

Step-by-step explanation:

Given volume = 48pi cm^3

volume of sphere = 4/3pir^3

48pi = 4/3 pi r^3

48 = 4r^3/3

r^3 = 48×3/4

r^3 = 36

r = 6√6

Answer 2

The diameter of sphere(d) $=2\sqrt[3]{36}$

Step-by-step explanation:

Given,

The volume of a sphere $=48\pi cm^3$

Let the radius of sphere = r

To find, the diameter of sphere(d) = ?

We know that,

The volume of a sphere $=\dfrac{4}{3}\pi r^{3}$

⇒ $\dfrac{4}{3}\pi r^{3}=48\pi$

⇒ $\dfrac{4}{3} r^{3}=48$

⇒ $r^3=\dfrac{48\times 3}{4}$

⇒$r^3=36$

⇒ $r=\sqrt[3]{36}$

∴ The diameter of sphere(d) = 2 × Radius(r)

$=2\sqrt[3]{36}$

Hence, the diameter of sphere(d) $=2\sqrt[3]{36}$