A cylindrical can of cleaner holds 1 L of liquid. What is
its height if the diameter of the base is 10 cm?
1 liter = 1000 cubic centimeters
Volume of a cylinder: V = pi * r^2 * h
1000 = 3.14 * 25h
1000 = 78.5h
1000/78.5 = h
12.7389 = h
Find the area of the cicle that has a triangle shaded in a 60degree
To find the height of the cylindrical can, we can use the formula for the volume of a cylinder. The volume of a cylinder is given by the formula:
V = π * r^2 * h
Where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder.
In this case, we are given that the can holds 1 liter of liquid, which is equivalent to 1000 cubic centimeters (since 1 liter = 1000 cubic centimeters). Therefore, we can set up the following equation:
1000 = π * (5^2) * h
Where 5 is the radius of the base (since the diameter is 10 cm and the radius is half of the diameter).
Simplifying the equation, we have:
1000 = 25π * h
To find the value of h, we can divide both sides of the equation by 25π:
h = 1000 / (25π)
Using a calculator, we can compute this value as:
h ≈ 1000 / (25 * 3.14159) ≈ 12.73239 cm
Therefore, the height of the cylindrical can is approximately 12.73 cm.