What is the volume of a coffee can that is 6.5 inches high and has a diameter of 5 inches. round your answer to the nearest tenth.
V=πr^2h
V = 3.14 * 2.5^2 * 6.5
V = 3.14 * 6.25 * 6.5
V = ?
To find the volume of a coffee can, we can use the formula for the volume of a cylinder:
V = πr^2h
Here, V represents the volume, π is a constant (approximately 3.14159), r is the radius of the circular base, and h is the height of the cylinder.
First, we need to find the radius (r) of the coffee can, which is half of the diameter. So, given that the diameter is 5 inches, dividing it by 2 gives us a radius of 2.5 inches.
Now, we can substitute the values into the formula:
V = 3.14159 * (2.5)^2 * 6.5
Simplifying this further, we get:
V ≈ 3.14159 * 6.25 * 6.5
V ≈ 127.23435 cubic inches
Rounding this to the nearest tenth, the volume of the coffee can is approximately 127.2 cubic inches.