A storage tank is in the shape of a right circular cylinder that has a diameter of 20 inches and a height of 3yards. if oil costs $2 per cubic foot, what does it cost to fill the storage tank oil?

volume of cylinder = πr^2 h

radius = 10 inches
= 10/12 or 5/6 ft
height = 3 yards = 9 ft

vol = π(25/36)(6) = (25/6)π cubic ft.

cost = $2(25/6)π = $25π/3 or $26.18

a circle has a circumference of about 16.3 meters and a diameter of about 5.2 meters what is the relationship between the circumference and diameter of this cricle

To calculate the cost of filling the storage tank with oil, we need to find the volume of the tank in cubic feet.

First, let's convert the measurements to the same unit. Since oil costs are given in cubic feet, we'll convert the height from yards to feet.

1 yard = 3 feet (since there are 3 feet in a yard)

So, the tank's height is 3 yards * 3 feet/yard = 9 feet.

Next, we need to find the radius of the tank, which is half of the diameter.
Radius = diameter / 2 = 20 inches / 2 = 10 inches.

Since oil costs are given in cubic feet, we need to convert the radius to feet.
1 foot = 12 inches, so the radius is 10 inches / 12 = 0.8333 feet.

Now, we can calculate the volume of the tank using the formula for the volume of a cylinder:
Volume = π * radius^2 * height.

Volume = 3.14 * (0.8333 feet) ^2 * 9 feet.

Volume ≈ 19.63 cubic feet.

Finally, we can calculate the cost of filling the tank with oil.
Oil costs $2 per cubic foot.

Cost = Volume * cost per cubic foot.
Cost = 19.63 cubic feet * $2 = $39.26.

So, it would cost $39.26 to fill the storage tank with oil.

To find the cost of filling the storage tank with oil, we need to calculate the volume of the tank and then multiply it by the cost per cubic foot.

First, let's convert the diameter and height into the same unit.
The diameter is given as 20 inches. Since 1 yard = 36 inches, we can convert the diameter to yards by dividing it by 36. Therefore, the diameter in yards is 20/36 = 5/9 yards.

The height is given as 3 yards. We don't need to convert it since it is already in yards.

Now, we can calculate the volume of the tank using the formula for the volume of a cylinder: V = π * r^2 * h, where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius, and h is the height.

The radius of the tank is half of the diameter, so the radius is (5/9) / 2 = 5/18 yards.

Now, let's substitute the values into the volume formula:

V = π * (5/18)^2 * 3

V ≈ 0.9816 cubic yards

To convert the volume from cubic yards to cubic feet, we multiply by 27 since 1 cubic yard is equal to 27 cubic feet:

Volume in cubic feet = 0.9816 * 27 ≈ 26.5104 cubic feet

Finally, to find the cost of filling the tank with oil, we multiply the volume (in cubic feet) by the cost per cubic foot:

Cost = Volume * Cost per cubic foot
= 26.5104 * $2
≈ $53.02

Therefore, it would cost approximately $53.02 to fill the storage tank with oil.