If a spherical tank is 20 ft in diameter, what is its capacity?

• A. 3,600 ft³
• B. 4,187 ft³
• C. 5,000 ft³
• D. 6,000 ft³

Answer: (B)

To determine the capacity of a spherical tank, you use the formula for the volume of a sphere, which is given by the equation:

[

V = \frac{4}{3} \pi r^3

]

In this case, the diameter of the tank is 20 feet, which means the radius (r) is half of that, or 10 feet.

Substituting the radius into the volume formula:

[

V = \frac{4}{3} \pi (10)^3

]

Calculating (10^3):

[

10^3 = 1000

]

Now substituting back into the volume formula:

[

V = \frac{4}{3} \pi (1000)

]

[

V = \frac{4000}{3} \pi

]

Using the approximation for (\pi) (about 3.14), we can calculate:

[

V \approx \frac{4000}{3} \times 3.14 \approx \frac{12560}{3} \approx 4186.67

]

Rounding this gives approximately 4,187 cubic feet, which aligns closely with the provided