Find the exact value of the volume of a can of sauerkraut with a diameter 12 centimeters and height of 8 centimeters. Include correct units with your solution. Use "pi" in place of the pi symbol.
V = pi * r^2 * h
V = 3.14 * 6^2 * 8
V = 3.14 * 36 * 8
V = 904.32 square centimeters
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
That should be 904.32 cubic centimeters.
To find the volume of the can of sauerkraut, we can use the formula for the volume of a cylinder, which is given by V = πr^2h, where V is the volume, r is the radius of the base, and h is the height.
First, we need to find the radius of the base. The diameter is given as 12 centimeters, and since the radius is half the diameter, the radius of the base is 12/2 = 6 centimeters.
Now we can substitute the values into the formula:
V = π(6)^2(8)
= 36π(8)
= 288π
Thus, the exact value of the volume of the can of sauerkraut is 288π cubic centimeters.