To the nearest HUNDREDTH of a cubic centimetre, what is the volume of a cylinder with a radius of 23 cm and a height of 35 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 23 cm and a height of 35 cm? Use pi=3.14 in your calculations
Solution
The volume of a cylinder is 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 = 23 cm and h = 35 cm. So, V = 3.14 * (23 cm)² * 35 cm.
Step 2: Calculate the square of the radius, which is (23 cm)² = 529 cm².
Step 3: Multiply the result by the height and π. So, V = 3.14 * 529 cm² * 35 cm = 58065.3 cm³.
Therefore, the volume of the cylinder is approximately 58065.3 cubic centimeters to the nearest hundredth.
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