Find the radius

Question

Find the approximate radius of a water tower when the volume is 2,350,000.  Use 3.14 for pie.

Answer 1

Hi Matt,

 

Assuming the water tower is a perfect sphere, its volume can be represented by the equation Volume = (4/3)pi*(radius)^3

 

Plugging in the volume and 3.14 for pi, we now have:

2,350,000 = (4/3)(3.14)(radius)^3

 

Let's simplify!

2,350,000 = (4.187)(radius)^3

561,261.05 = radius^3

 

So, the radius is the cube root of 561,261.05, or 82.5

 

Hope that helps :)