The volume of the sphere is given find its radius
V=1200 ft^3
4/3 pi r^3 = 1200
r^3 = 1200 * 3/(4pi) = 900/pi
so now you can find r.
To find the radius of a sphere when the volume is given, you can use the following formula:
V = (4/3) * π * r^3
Here, V represents the volume and r represents the radius of the sphere. In this case, V is given as 1200 ft^3.
To find the value of r, you need to rearrange the equation to solve for r.
Let's start by dividing both sides of the equation by (4/3) * π:
V / ((4/3) * π) = r^3
Now, substitute the given value of V into the equation:
1200 ft^3 / ((4/3) * π) = r^3
Simplify the right side of the equation:
1200 ft^3 / ((4/3) * π) = r^3
To solve for r, you can take the cube root of both sides:
r = ∛(1200 ft^3 / ((4/3) * π))
This will give you the radius of the sphere. You can use a calculator to find the numerical value of r.