Question

The Springfield water tower, shown below, has a diameter of 24 meters.

Answer 1

Answer:

≈ 6360 m³

Step-by-step explanation:

Volume of a cylinder = πr²h

radius = 12 m,  h= 42.2 m

Therefore;  V = 3.142 × 12² × 42.2      

                      = 19093.3056 m²

Since the tank 1/3 full of water;

Volume = 1/3 × 19093.3056 m³            

                = 6364.4352 m³            

                  ≈ 6360 m³

Answer 2

Answer: OPTION B

Step-by-step explanation:

1. Calculate the volume of the tank using the formula for calculate the volume of a cylinder:

$V_c=r^2h\pi$

Where r is the radius and h (h=42.2 m) is the height.

The radius is:

$r=\frac{d}{2}$

Where d is the diameter.

Then:

$r=\frac{24m}{2}=12m$

Substitute values into the formula:

$V_c=(12m)^2(42.2m)\pi=19,090.83m^3$

2. The volume of water is:

$V_w=\frac{1}{3}V_c\\\\V_w=\frac{1}{3}(19,090.83m^3)\\V_w=6,363.61m^3$

The option that shows an approximation of the volume of water obtained is the option B.