Find the volume, in cubic inches, of a cylinder with a diameter of 3 cm and a height of 5 inches. Use 3.14 for pi. Round your answer to the nearest hundredth
First, we need to convert the diameter from centimeters to inches. Since 1 cm is approximately equal to 0.3937 inches, the diameter of 3 cm is equal to 3 cm * 0.3937 in/cm = 1.1811 inches.
Now, we can calculate the radius of the cylinder by dividing the diameter by 2: 1.1811 inches / 2 = 0.5906 inches.
The formula to calculate the volume of a cylinder is V = πr^2h, where V is the volume, π is the mathematical constant pi (approximately equal to 3.14), r is the radius of the cylinder, and h is the height of the cylinder.
Substitute the values into the formula: V = 3.14 * (0.5906)^2 * 5 = 3.14 * 0.3487 * 0.3487 * 5 ≈ 1.9007 cubic inches.
Therefore, the volume of the cylinder is approximately 1.90 cubic inches.