water tower with a 20 ft. sphere at top to store water. how many gallons does it hold?
V=4/3πr^3
V = 1.3333 * 3.14 * 1000
V = 4,186.562
4186.562ft³ = 31,317 US gal
Well, in order to find out how many gallons the water tower can hold, we need to do a little math. First, let's calculate the volume of the sphere at the top.
The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius. Since the sphere has a diameter of 20 ft, the radius would be half of that, which is 10 ft.
V = (4/3)π(10³) = (4/3)π(1000) ≈ 4188.79 ft³
Now, we need to convert cubic feet to gallons. One cubic foot is equal to approximately 7.48052 gallons.
4188.79 ft³ × 7.48052 ≈ 31,275.07 gallons
So, the water tower can hold approximately 31,275.07 gallons of water. That's a whole lot of H2O!
To determine the number of gallons a water tower with a 20 ft. sphere at the top can hold, we need to calculate the volume of the sphere and convert it to gallons.
Step 1: Calculate the volume of the sphere.
The volume of a sphere can be calculated using the formula: V = (4/3) * π * r^3, where V is the volume and r is the radius.
Given that the sphere has a 20 ft. diameter, we can find the radius by dividing the diameter by 2:
Radius (r) = 20 ft. / 2 = 10 ft.
Plugging the radius into the volume formula:
V = (4/3) * π * (10 ft.)^3
V ≈ 4.18879 * (1000 ft.^3) [rounded to five decimal places]
V ≈ 4188.79 ft.^3 [rounded to two decimal places]
Step 2: Convert the volume to gallons.
One cubic foot is equal to 7.48052 gallons.
Therefore, the volume in gallons is calculated by multiplying the volume in cubic feet by 7.48052.
Volume in gallons ≈ 4188.79 ft.^3 * 7.48052 gallons/ft.^3
Volume in gallons ≈ 31,329.96 gallons [rounded to two decimal places]
Therefore, the water tower can hold approximately 31,329.96 gallons of water.
To calculate the number of gallons a water tower with a 20 ft. sphere at the top can hold, we need to know the volume of the sphere and convert it into gallons.
First, let's calculate the volume of the sphere using the formula for the volume of a sphere:
V = (4/3) * π * r^3
In this case, the radius of the sphere is half of the diameter, which is 20 ft / 2 = 10 ft. So, the radius (r) of the sphere is 10 ft.
Now, let's substitute the values into the formula and calculate:
V = (4/3) * π * 10^3
V = (4/3) * 3.14159 * 10^3
V ≈ 4188.79 cubic feet
Next, we need to convert cubic feet to gallons. One cubic foot of water is approximately equal to 7.48 gallons.
So, the number of gallons the water tower can hold is:
Gallons = 4188.79 * 7.48
Gallons ≈ 31,349.57 gallons
Therefore, the water tower can hold approximately 31,349.57 gallons of water.