a spherical water storage tank has a radius of 10ft. A cubic foot of water is about 7.5 gallons. How many gallons of water will the tank hold?
To calculate the volume of a spherical water storage tank, you can use the formula:
V = (4/3) * π * r^3
where V is the volume, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the tank.
In this case, the radius (r) of the tank is given as 10ft. Let's substitute this value into the formula to calculate the volume:
V = (4/3) * π * (10^3)
V = (4/3) * 3.14159 * 10,000
V = 41,879.64594 ft^3
Now, since 1 cubic foot of water is approximately equal to 7.5 gallons, we can convert the volume in cubic feet to gallons by multiplying by this conversion factor:
Volume in gallons = Volume in cubic feet * 7.5
Volume in gallons = 41,879.64594 ft^3 * 7.5
Volume in gallons ≈ 314,097.34455 gallons
Therefore, the spherical water storage tank will hold approximately 314,097.345 gallons of water.
To find the volume of a spherical water storage tank, you can use the formula:
Volume = (4/3) π r³,
where r is the radius of the tank.
Given that the radius of the tank is 10ft, we can substitute it into the formula and solve:
Volume = (4/3) π (10ft)³
Volume = (4/3) x 3.14 x (10ft)^3
Volume = (4/3) x 3.14 x 1000ft³
Volume = 4186.67ft³.
Since one cubic foot of water is about 7.5 gallons, we can convert the volume into gallons by multiplying it by 7.5:
Gallons = 4186.67ft³ x 7.5
Gallons ≈ 31,400 gallons.
Therefore, the spherical water storage tank will hold approximately 31,400 gallons of water.
V = (4/3) * pi * r^3
V = (4/3) * 3.14 * 1000
V = (4/3) * 3140
V = 12,560 / 3
V = 4186.6667 cubic feet
Divide the volume by 7.5