Question

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

The tank is about 1/3 full of water. What is the approximate volume of the water in the tank?

A. 1,060 cubic meters
B. 6,360 cubic meters
C. 19,080 cubic meters
D. 25,440 cubic meters

Answer 1

Answer: OPTION B

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=(d)/(2)`

Where d is the diameter.

Then:

`r=(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=(1)/(3)V_c\\\\V_w=(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.

Answer 2

≈ 6360 m³

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