for starters you're going to serve tomato soup your recipe makes 1,6L of soup your pot has a diameter of 15 cm and a height of 12 cm calculate the volume?
well, the pot's volume is
pi * (15/2)^2 * 12 = 2120,57 cm^3
Is that big enough?
To calculate the volume of the pot, you can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Where:
- π is a constant (approximately 3.14159)
- r is the radius of the pot (half of the diameter)
- h is the height of the pot
Given that the pot has a diameter of 15 cm, the radius (r) would be half of that, which is 7.5 cm or 0.075 meters. The height (h) is given as 12 cm or 0.12 meters.
Now, plug the values into the formula:
Volume = 3.14159 * (0.075)^2 * 0.12
Calculating this expression will give you the volume of the pot in cubic meters.
To calculate the volume of a cylindrical pot, we need to use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Where:
- π (pi) is a mathematical constant approximately equal to 3.14159.
- r is the radius of the base of the cylinder.
- h is the height of the cylinder.
In this case, we have the diameter of the pot (15 cm), so we can calculate the radius (r) by dividing the diameter by 2:
r = 15 cm / 2
r = 7.5 cm
Now, we can plug in the values into the formula:
Volume = π * (7.5 cm)^2 * 12 cm
Volume = 3.14159 * (7.5 cm)^2 * 12 cm
Volume ≈ 3.14159 * 56.25 cm^2 * 12 cm
Volume ≈ 2116.79 cm^3
Since 1 liter (L) is equal to 1000 cm^3, we can convert the volume to liters:
Volume ≈ 2116.79 cm^3 / 1000 cm^3/L
Volume ≈ 2.1179 L
Therefore, the volume of the pot is approximately 2.1179 liters.