Question

The volume of a sphere is 4851 cm cube then its diameter is

Answer 1

app. 204...................

Answer 2

Answer

Hence Diameter of sphere is 21cm.

Given that

Volume of a sphere is

$4851 {cm}^{3}$

To find its diameter

Solution

In context to question asked

we have to find diameter of sphere

As we know that

$volume \: of \: sphere = \frac{4}{3} \times \pi \times {r}^{3}$

where r is radius of sphere

$\pi = \frac{22}{7}$

$4851 = \frac{4}{3} \times \frac{22}{7} \times {r}^{3}$

By solving we get

$4851 = 4.19 \times {r}^{3}$

${r}^{3} = \frac{4851}{4.19}$

$r = \sqrt[3]{ \frac{4851}{4.19} }$

as this is the cube of 10.50 hence

$r = 10.50cm$

Diameter of sphere is double of radius hence

$diameter = 2 \times 10.50 \\ = 21cm$

Hence Diameter of sphere is 21cm.