Question

What is the diameter of a sphere with a volume of 4397\text{ m}^3,4397 m

Answer 1

the diameter of a sphere is $20.3m$ .

Step-by-step explanation:

Here we have , a sphere with a volume of 4397 m^3 . We need to find the diameter of sphere . Let's find out:

We know that ,  Volume of sphere is given by formula as :

⇒ $Volume =\frac{4}{3}\pi r^3$   .......(1)

According to question we have following parameters as :

$Volume = 4397m^3\\Radius = \frac{Diameter}{2}$

Putting these values in we get:

⇒  $Volume =\frac{4}{3}\pi r^3$

⇒  $4397 =\frac{4}{3}\pi (\frac{D}{2}) ^3$

⇒  $4397 =\frac{4}{3}\pi (\frac{D^3}{8})$

⇒  $4397 =\pi (\frac{D^3}{6})$

⇒  $D^3 =6 (\frac{4397}{\pi})$

⇒  $D^3 =6 (\frac{4397}{3.14})$

⇒  $D^3 =8402$

⇒  $D =\sqrt[3]{ 8402}$

⇒  $D =20.3m$

Therefore , the diameter of a sphere is $20.3m$ .

Answer 2

The diameter of a sphere is 20.32 m

Explanation:

Given:

Volume of the sphere, V = 4397m³

Diameter, D = ?

We know,

Volume of the sphere = $\frac{4}{3} \pi r^3$

Where,

r = radius of the sphere

On substituting the value in the formula we get:

$4397 = \frac{4}{3} \pi (r)^3\\\\r^3 = \frac{4397 X 3}{4\pi } \\\\r^3 = 1049.7 m^3\\\\r = 10.16m$

Diameter = 2 X radius

D = 2 X 10.16 m

D = 20.32 m

Therefore, the diameter of a sphere is 20.32 m