A cylindrical jug that carries 1.5ℓof water when it is i lled to the brim has a base surface with the diameter
of 12cm. How long is the jug?
2.4cm
1.5l = 1500 cm^3
so, if the length is h, π*6^2*h = 1500
h = 1500cm^3/(36π cm^2) = 13.26 cm
To find the length of the jug, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * radius^2 * height
Given that the jug carries 1.5 liters of water, we can convert this to cubic centimeters (since the dimensions are given in centimeters). We know that 1 liter is equal to 1000 cubic centimeters. So, we have:
Volume = 1.5 * 1000 = 1500 cubic centimeters
The base surface of the jug has a diameter of 12 cm, which means the radius is half of the diameter, so:
radius = diameter / 2 = 12 / 2 = 6 cm
Plugging these values into the volume formula, we get:
1500 = π * 6^2 * height
To find the height, we can rearrange the formula:
height = 1500 / (π * 6^2)
Now, let's calculate the height:
height = 1500 / (π * 36)
height ≈ 4.18 cm
Therefore, the height or length of the jug is approximately 4.18 cm.