Question

A spherical water tank holds 15000ft^3. What is the diameter of the tank? Use V=pie/6*d^3

Answer 1

To find the diameter of a spherical tank with a volume of 15000ft^3, the correct formula for a sphere's volume V = (4/3)πr^3 should be used. Solving for the radius r and then doubling it gives the diameter of the tank.

Step-by-step explanation:

To calculate the diameter of a spherical water tank that holds 15000ft3, we will use the given formula for the volume of a sphere, which in its correct form is V = (4/3)πr3. However, the formula provided in the question seems to be incorrect. Assuming the correct formula for the spherical volume, we will solve for the radius (r) first and then double that value to determine the diameter (d).

Using the correct volume formula, we have:
15000 = (4/3)πr3
Moving forward, we will isolate r and then solve for it:

r3 = (15000ft3 × 3) / (4π)

r = √[ (45000 / (4π))1/3 ]

Once r is calculated, we can obtain the diameter by multiplying it by 2:

d = 2r

Answer 2

`V=( \pi )/(6d^3)\\\\ Substitute\ into\ formula\ V=15000ft^3\\\\ 15000=( \pi )/(6d^3)\ \ |*6d^3\\\\90000d^3= \pi \ \ |:90000\\\\ d^3=( \pi )/(90000)\ \ \sqrt[3]{}\\\\ d\approx0,07ft \\\\Diamater\ is\ equal\ to\ 0,07ft.`