What is the radius of a sphere having a volume of 38808cm
3
? (Use π=
7
22
​
)

The formula for the volume of a sphere is:
V=
3
4
​
πr
3

Given that V=38808cm
3
and π=
7
22
​
:

38808=
3
4
​
×
7
22
​
×r
3

38808=
21
88
​
×r
3

Solving for r
3
:

r
3
=
88
38808×21
​

Let's simplify by dividing by 11:

88÷11=8
38808÷11=3528
r
3
=
8
3528×21
​

Now divide 3528 by 8:

3528÷8=441
r
3
=441×21
We recognize that 441=21×21=21
2
:

r
3
=21
2
×21=21
3

r=21cm