Question

The volume of a sphere is 904.32 cubic units. Find the diameter of the sphere.

Answer 1

Volume of cube=4/3*pie*r
Put the value and solve easily

Answer 2

Answer: 12 units

Explanation:

Given:

A sphere in which:

• Volume =  $904.32 unit^{3}$ = $\frac{90432}{100}$ $unit^{3}$

To find:

The diameter of the sphere

Proof:

According to the question,

Volume of sphere= $\frac{4}{3}\pi r^{3}$ =  $\frac{90432}{100}$ $unit^{3}$

⇒  $\frac{4}{3}\pi r^{3}$ =  $\frac{90432}{100}$ $unit^{3}$

Substituting π = 3.14 = $\frac{314}{100}$ in the above equation, we get:

⇒ $\frac{4}{3}\ X \frac{314}{100} X r^{3}$ =  $\frac{90432}{100}$

⇒ $r^{3}$ = $\frac{90432 X 3 X 100 }{100 X 314 X 4 }$

⇒ $r^{3}$ = $\frac{288 X 3 }{4 }$

⇒ $r^{3}$ = 72 × 3

⇒ $r^{3}$ = 216

⇒ $r$ = $\sqrt[3]{216}$

⇒ r= 6 units

So, radius = r = 6 units

∴ Diameter

= 2r

= 2(6)

= 12 units

Hence, the diameter of sphere of volume $904.32 unit^{3}$ = 12 units

Hence, proved.

Hope you got that.

Thank You.