Question

A sphere has a volume of 1837.35 cm cubed. Whats the radius using 3.14 for pi?

Answer 1

Answer: 7.6cm

Explanation:

The volume of a sphere is given as:

`V=(4)/(3)\pi r^(3)`

since the volume has be given to be 1837.35 and
`\pi` is 3.14 , we will substitute into the formula, that is :

`1837.35=(4)/(3)(3.14)r^(3)`

multiplying through by 3 , we have :

`5512.05= 4(3.14)r^(3)`

`5512.05=12.56r^(3)`

divide through by 12.56

`438.8574841=r^(3)`

find the cube root of both sides :

therefore :

`r = 7.599315982`

Therefore:

`r`≈ 7.6cm