Question

What is the approximate radius of a sphere with a volume of 1436cm to power of 3

Answer 1

The radius is 7 cm

Explanation:

Volume of a sphere is given by

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

where r is the radius

From the question V = 1436 cm³

`1436 = (4)/(3) \pi {r}^(3)`

Multiply through by 3

We have

`4308 = 4\pi {r}^(3)`

Divide both sides by 4π

`{r}^(3) = (4308)/(4\pi)`

`{r}^( 3) = (1077)/(\pi)`

Find the cube root of both sides

`r = \sqrt[3]{ (1077)/(\pi) }`

r = 6.99

We have the final answer as

r = 7cm

Hope this helps