V=4/3 pj R^3

Question

The volume of a sphere can be given by the formula: V=4/3 pi r^3. You have to design a spherical container that will hold a volume of 95 cubic inches. What should the radius of your container be?

Answer 1

Solve for r after plugging in the information:

95 = (4π/3)r³

95(3/4π) = r³

³√(95(3/4π)) = r

Using a calculator to get the approximate answer:

 

2.831 inches

Answer 2

Hi Jordan,

 

4/3∏r³ = 95

 

4/3∏r³ * 3/4= 95*3/4

 

 
∏r³ = 95*3/4

 

∏r³ /∏ = 95(3/4)/∏
 

r³ = 95(3/4)/∏

 

r = cube-root of (95(3/4)/∏)

 

I hope this helps