To the nearest HUNDREDTH of a cubic centimetre, what is the volume of a cylinder with a radius of 21 cm and a height of 30 cm? Use pi=3.14 in your calculations
Question
To the nearest HUNDREDTH of a cubic centimetre, what is the volume of a cylinder with a radius of 21 cm and a height of 30 cm? Use pi=3.14 in your calculations
Solution
The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius, h is the height, and π is a mathematical constant whose approximate value is 3.14.
Step 1: Substitute the given values into the formula. In this case, r = 21 cm, h = 30 cm, and π = 3.14.
V = 3.14 * (21 cm)² * 30 cm
Step 2: Calculate the square of the radius (21 cm)² = 441 cm².
V = 3.14 * 441 cm² * 30 cm
Step 3: Multiply the result by the height and π.
V = 3.14 * 441 cm² * 30 cm = 414198 cm³
So, the volume of the cylinder is approximately 414198 cubic centimeters. To the nearest hundredth of a cubic centimeter, this is 414198.00 cm³.
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