Question

The volume of sphere is 4851 cm cube then its diametrer is

Answer 1

The diameter of sphere is 21 cm.  

Given:

The volume of sphere = $4851 cm ^{ 3 }$

To find: Diameter of sphere = ?

Solution:

The sphere is a “three dimensional” object which is perfectly round in shape of ball like structure.  

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

$\begin{array}{l}{\frac{4}{3} \pi r^{3}=4851} \\ \\{r^{3}=\frac{4851 \times 3}{4 \times \pi}} \\ \\{r^{3}=\frac{14553}{12.564}} \\ \\{r^{3}=1158.309} \\ \\{r=\sqrt[3]{1158.309}}\end{array}$

r = 10.5  

Diameter of the sphere = $2 \times radius =2 \times 10.5$

D = 21 cm  

Answer 2

The diameter of the sphere is 21 cm

Step-by-step explanation:

Given Data

Volume of sphere = 4851 cubic cm

Find the diameter of the sphere

The formula for $\text {volume of sphere} = \frac{4}{3} \pi r^3 \text{cubic units}$

where π has the constant value of 3.14,  and 'r' is the radius of the sphere

$4851 = \frac{4}{3} \times 3.14 \times r^3 \text{cubic units}$

$r^3 = \frac{4851 \times 3}{4 \times 3.14} \text{cubic units}$

$r^3 = \frac{14553}{ 12.56} \text{cubic units}$

r³ = 1158.67 cm³

$r = \sqrt[3]{1158.67 }$ cm

r = 10.50 cm

Radius of the sphere = 10.50 cm

Diameter of the sphere = 2 × Radius of the sphere

Diameter of the sphere = 2 × 10.50

Diameter of the sphere = 21 cm

Therefore the diameter of the sphere with volume 4851 cubic centimeter is 21 cm

To Learn More ...

1) A spherical ball of diameter 21 cm is melted and recast into cubes each of side 1 cm. Find the number of cubes so formed

https://brainly.in/question/2394087

2) Calculate the surface area of a sphere whose volume is 4851 cm3

https://brainly.in/question/303421