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

Answer 1

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.