Calculate the volume if a cylindrical container has a diameter of 14 cm and a height of 20cm
base area = pi d^2/4 = pi * 196/4 = 154 cm^2
multiply by height
154 * 20 = 3080 cm^3
since the diameter is 14, the radius is 7, and so
v = πr^2 h = π * 7^2 * 20 = 980π cm^3
Help me to solve the question
To calculate the volume of a cylindrical container, you can use the formula:
Volume = π * r^2 * h
where π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the circular base, and h is the height of the cylinder.
To find the volume, we need to first calculate the radius. The diameter is given as 14 cm, and we can calculate the radius by dividing the diameter by 2.
Radius = Diameter / 2 = 14 cm / 2 = 7 cm
Now we have all the values we need to calculate the volume.
Volume = π * (7 cm)^2 * 20 cm
Calculating the expression inside the parentheses:
Radius^2 = 7 cm * 7 cm = 49 cm^2
Substituting this value and the height into the volume formula:
Volume = π * 49 cm^2 * 20 cm
Volume ≈ 3.14159 * 49 cm^2 * 20 cm
Volume ≈ 30785.77 cm^3
Therefore, the volume of the cylindrical container is approximately 30785.77 cm^3.