A cylindrical container of height 70cm has base diameter of 24cm find it's volume
To find the volume of a cylindrical container, you need to multiply the area of the base by the height.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius of the base, and h is the height.
Given that the base diameter is 24cm, we can find the radius by dividing it by 2: r = 24/2 = 12cm.
Now, we can substitute the values into the formula:
V = π(12cm)²(70cm)
Calculating the value:
V = 3.14(12cm)²(70cm)
V = 3.14 * 144cm² * 70cm
V = 3.14 * 10,080cm³
V ≈ 31,699.20cm³
Therefore, the volume of the cylindrical container is approximately 31,699.20cm³.
To find the volume of a cylindrical container, you can use the formula:
Volume = π * r^2 * h
Where:
π is a mathematical constant approximately equal to 3.14159
r is the radius of the base of the cylinder (half the diameter)
h is the height of the cylinder
Given that the base diameter is 24cm, the radius (r) can be found by dividing the diameter by 2:
r = 24 cm / 2 = 12 cm
Now that we have the radius and the height, we can calculate the volume:
Volume = π * (12 cm)^2 * 70 cm
Calculating this equation will give you the volume of the cylindrical container.
To find the volume of a cylindrical container, we need to know the formula for the volume of a cylinder.
The formula for the volume of a cylinder is:
V = π * r^2 * h
Where:
V = Volume of the cylinder
π (pi) ≈ 3.14159
r = Radius of the base of the cylinder
h = Height of the cylinder
In this case, we are given the height of the cylinder (h = 70cm) and the diameter of the base (d = 24cm). However, we need to find the radius (r) to calculate the volume.
The radius of the base is half the diameter. Therefore, we can calculate the radius using the formula:
r = d/2
Substituting the given values into the formula, we have:
r = 24cm / 2
r = 12cm
Now that we know the radius, we can calculate the volume of the cylinder using the formula for the cylinder's volume:
V = π * r^2 * h
Substituting the values, we have:
V = π * (12cm)^2 * 70cm
Calculating the right side of the formula, we get:
V ≈ 3.14159 * (12cm)^2 * 70cm
V ≈ 3.14159 * 144cm^2 * 70cm
V ≈ 3.14159 * 10,368cm^3
V ≈ 32,543.67cm^3
Therefore, the volume of the cylindrical container is approximately 32,543.67 cubic centimeters.