The main tank at an aquarium is a cylinder with diameter 203 ft and height 25 ft.
Using 3.14 for pi, find the volume of the tank to the nearest cubic foot.
V=πr2h
V = 3.14 * 101.5^2 * 25
V = ?
To find the volume of the tank, we can use the formula for the volume of a cylinder:
V = π * r^2 * h
Where:
V is the volume,
π (pi) is approximately 3.14,
r is the radius of the cylinder, and
h is the height of the cylinder.
Given that the diameter of the tank is 203 ft, we can find the radius by dividing the diameter by 2:
r = 203 ft / 2 = 101.5 ft
Now we have the radius and the height, so we can plug these values into the volume formula:
V = 3.14 * (101.5 ft)^2 * 25 ft
Calculating this expression:
V ≈ 3.14 * 10,302.25 ft^2 * 25 ft
Now, let's multiply:
V ≈ 814,242.25 ft^3
Therefore, the volume of the tank is approximately 814,242 cubic feet (rounded to the nearest whole number).
To find the volume of the tank, we can use the formula for the volume of a cylinder, which is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.
First, let's find the radius. The diameter of the tank is given as 203 ft, so the radius (r) is half of that. Therefore, r = 203 ft / 2 = 101.5 ft.
Next, we can substitute the values into the formula and calculate the volume:
V = π(101.5 ft)^2 * 25 ft
Using π = 3.14 and performing the calculations:
V = 3.14 * (101.5 ft)^2 * 25 ft
V ≈ 3.14 * 10,303.25 ft^2 * 25 ft
V ≈ 814,886.925 ft^3
Rounding to the nearest cubic foot, the volume of the tank is approximately 814,887 ft^3.