A cylindrical storage tank has a height of 100 feet and a diameter of 10 feet.

(Use pi = 3.14)

What is the lateral surface area of the tank?
How do i find lateral surface area of the tank

What is the volume?
7850 cubic feet

What is the volume in gallons of water if 7.48 gallons= 1 cubic foot?
58718 gallons

lateral surface area is defined as the total area excluding the base.

so here it would be the "sleeve" of the cylinder, which would be a rectangle, plus the circular top

the length of the rectangle is the circumference of the circle.

so area
= 2pi(5)(100) + pi(5^2)
= 1025pi or appr. 3220 square feet

Volume = area of base x height
= pi(5^2)*100
= 2500pi or 7854 cubic feet

no. of gallons = 7854*7.48 = 58747.8 gallons

I used the calculator value for pi, you used 3.14, this explains the relatively small error in your answers.

The lateral surface area of a 3 dimensional body is the external surface area you would see by walking around the body or when viewing the body sideways. For instance, the lateral surface area of a cylinder is 2PiRh where R is the radius of the cylinder and h is the height of the cylinder. Lateral surface aerea does not include the area of the circular end surfaces.

Therefore, the lateral surface area of your cylinder is 2(3.14)5(100).

To find the lateral surface area of the tank, you can use the formula:

Lateral surface area = 2πrh

Here, r is the radius of the tank and h is the height.

Given that the diameter of the tank is 10 feet, the radius (r) can be calculated by dividing the diameter by 2:

r = diameter / 2 = 10 / 2 = 5 feet

Now, we can calculate the lateral surface area using the formula:

Lateral surface area = 2 * 3.14 * 5 * 100
= 3140 square feet

Therefore, the lateral surface area of the tank is 3140 square feet.

To find the volume of the tank, you can use the formula:

Volume = πr^2h

Using the same values for r and h as before,

Volume = 3.14 * 5^2 * 100
= 3.14 * 25 * 100
= 78500 cubic feet

Therefore, the volume of the tank is 78500 cubic feet.

To find the volume in gallons, we can use the conversion:

1 cubic foot = 7.48 gallons

So, to convert the volume from cubic feet to gallons:

Volume in gallons = Volume in cubic feet * 7.48
= 78500 * 7.48
= 586580 gallons

Therefore, the volume in gallons of water in the tank is approximately 58718 gallons.

To find the lateral surface area of the cylindrical storage tank, we need to calculate the area of the curved surface, excluding the top and bottom of the tank.

The formula for the lateral surface area of a cylinder is given by the equation:
Lateral Surface Area = 2πrh

where "r" is the radius of the cylinder and "h" is the height of the cylinder.

In this case, the diameter of the tank is given as 10 feet, and since the radius is half the diameter, the radius "r" would be 10/2 = 5 feet. The height "h" is given as 100 feet.

Using the formula, we can calculate the lateral surface area as follows:
Lateral Surface Area = 2 * 3.14 * 5 * 100
= 3140 square feet.

Therefore, the lateral surface area of the cylindrical storage tank is 3140 square feet.

To find the volume of the cylindrical tank, we can use the formula for the volume of a cylinder:
Volume = πr^2h

Using the given measurements, the radius "r" is 5 feet, and the height "h" is 100 feet. Substituting these values into the formula, we can calculate the volume as follows:
Volume = 3.14 * 5^2 * 100
= 3.14 * 25 * 100
= 7850 cubic feet.

Therefore, the volume of the cylindrical storage tank is 7850 cubic feet.

To find the volume in gallons of water, given the conversion rate of 7.48 gallons equal to 1 cubic foot, multiply the volume in cubic feet by the conversion factor:
Volume in gallons = 7850 cubic feet * 7.48 gallons/1 cubic foot
= 58718 gallons.

Therefore, the volume in gallons of water in the cylindrical storage tank is 58718 gallons.