About 7.5 gallons of water occupy one cubic foot. About how many gallons of water are in a clindrical water tank with dimensions with 100 ft radius and 40 ft height.

capacity of tank

= π r^2 h
= π(100^2)(40)
= 400000π

number of gallons
= 7.5(400000π)
= appr .....

3.14 (r squared)40

=

To find out the volume of the cylindrical water tank, we can use the formula for the volume of a cylinder: V = π * r^2 * h, where V is the volume, π is approximately 3.14159, r is the radius, and h is the height.

Given:
Radius (r) = 100 ft
Height (h) = 40 ft

First, let's calculate the volume of the cylindrical water tank using the formula:

V = π * r^2 * h

V = 3.14159 * 100^2 * 40
V = 3.14159 * 10000 * 40
V = 3.14159 * 400000
V ≈ 1256637.92 cubic feet

Now, since we know that 7.5 gallons of water occupy one cubic foot, we can find the number of gallons of water in the tank by multiplying the volume by 7.5:

Number of gallons = V * 7.5
Number of gallons ≈ 1256637.92 * 7.5
Number of gallons ≈ 9424794.4

Therefore, approximately 9,424,794.4 gallons of water would be in the cylindrical water tank.

To find the number of gallons of water in a cylindrical water tank, we need to calculate the volume of the tank in cubic feet and then convert it to gallons.

The volume of a cylinder is given by the formula: V = πr^2h, where V is the volume, r is the radius, and h is the height.

Given that the radius (r) is 100 ft and the height (h) is 40 ft, we can substitute these values into the formula:

V = π(100^2)(40)
= π(10000)(40)
= 40000π ft^3

Since we know that 7.5 gallons of water occupy one cubic foot, we can multiply the volume of the tank by 7.5 to find the number of gallons:

Number of gallons = 40000π ft^3 * 7.5 gallons/ft^3
= 300000π gallons

Approximating π to 3.14, we can calculate the approximate number of gallons:

Number of gallons ≈ 300000 * 3.14
≈ 942000 gallons

Therefore, the cylindrical water tank with a radius of 100ft and height of 40ft can hold approximately 942,000 gallons of water.