Question

the volume of a sphere is 4/3pi cm cube.then its diameter is _____cm​

Answer 1

I THINK

IT SHOULD IT WILL BE 1/3

Answer 2

Answer:

Diameter is 2cm

Step-by-step explanation:

Given that

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

To find

Diameter of sphere

Solution

let

r is radius of sphere

d is diameter of sphere.

v as volume of sphere

then

As we know that

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

put the given value of volume

$\frac{4}{3} \pi = \frac{4}{3} \pi \times {r}^{3}$

$\frac{4}{3} \pi \: will \: get \: cancle \: from \: both \: side \: hence$

${r}^{3} = 1$

cube of 1 is 1 hence

$r = 1cm$

as diameter is double of radius hence

$d = 2 \times r \\ = 2 \times 1 \\ = 2cm$

Diameter is 2cm.