A cylindrical container has a circumference of 176 cm and a height of 40 cm. What is the volume of the container in cm cubed
To find the volume of the cylindrical container, we first need to calculate the radius of the base of the cylinder. The formula for the circumference of a circle is 2πr, where r is the radius.
Since the circumference is 176 cm, we can set up the equation:
2πr = 176
r = 176 / (2π)
r ≈ 28 cm
Now, we can calculate the volume of the cylinder using the formula V = πr^2h, where r is the radius and h is the height.
V = π(28)^2(40)
V = π(784)(40)
V = 31,360π
Using the approximation of π as 3.14, the volume of the cylinder is:
V ≈ 31,360 * 3.14
V ≈ 98,470.4 cm^3
Therefore, the volume of the cylindrical container is approximately 98,470.4 cm^3.