A spherical water tank holds 15000ft^3. What is the diameter of the tank? Use V=pie/6*d^3
To find the diameter of the spherical water tank, we can rearrange the formula you provided: V = (pi/6) * d^3, where V is the volume of the tank and d is the diameter.
Given that the volume of the tank is 15000 ft^3, we can substitute this value into the formula:
15000 = (pi/6) * d^3
Next, we solve for d by isolating it in the equation. To do this, we can multiply both sides of the equation by 6/pi:
15000 * (6/pi) = d^3
90000/pi = d^3
To find the value of d, we can take the cube root of both sides of the equation:
d = (90000/pi)^(1/3)
Using a calculator, we can calculate the approximate value of d:
d ≈ 21.26 feet
Therefore, the approximate diameter of the spherical water tank is 21.26 feet.