The diameter and height of a cylindrical container 28cm and 10cm respectively. How many litres of liquid can the container hold when it is filled
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This should help you figure it out!
To find the volume of the cylindrical container, we can use the formula:
Volume of a cylinder = π * (radius)^2 * height
First, let's find the radius of the container. The diameter is given as 28 cm, and we know that the radius is half of the diameter:
Radius = diameter / 2 = 28 cm / 2 = 14 cm
Now, we can calculate the volume using the formula mentioned above:
Volume = π * (radius)^2 * height
Volume = π * (14 cm)^2 * 10 cm
To convert the volume from cm^3 to liters, note that 1 liter is equal to 1000 cm^3.
Volume (in cm^3) = π * (14 cm)^2 * 10 cm
Volume (in liters) = Volume (in cm^3) / 1000
Now, let's calculate the value:
Volume = π * (14 cm)^2 * 10 cm
Volume ≈ 3.14 * 196 cm^2 * 10 cm
Volume ≈ 6154.4 cm^3
Volume (in liters) = 6154.4 cm^3 / 1000
Volume (in liters) ≈ 6.154 liters
Therefore, the cylindrical container can hold approximately 6.154 liters of liquid when filled.
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 cylinder (half of the diameter)
- h is the height of the cylinder
First, we need to find the radius of the container. The diameter is given as 28 cm, so the radius (r) is half of that:
r = 28 cm / 2 = 14 cm
Now that we have the radius, we can calculate the volume:
Volume = π * (14 cm)^2 * 10 cm
≈ 3.14159 * 196 cm^2 * 10 cm
≈ 6157.5 cm^3
The answer is in cubic centimeters (cm^3). To convert this to liters, we need to divide by 1000, since there are 1000 cm^3 in 1 liter:
Volume in liters = 6157.5 cm^3 / 1000
≈ 6.1575 liters
Therefore, the container can hold approximately 6.1575 liters of liquid when it is filled.
v = π r^2 h
in case you can't be bothered to look it up ...