What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to the nearest tenths place?
Question
What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to the nearest tenths place?
Solution
The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base, h is the height, and π is a constant approximately equal to 3.14159.
Step 1: Identify the values given in the problem. The radius r is 10 centimeters and the height h is 5 centimeters.
Step 2: Substitute these values into the formula. V = π(10 cm)²(5 cm).
Step 3: Calculate the square of the radius. (10 cm)² = 100 cm².
Step 4: Multiply this result by the height and π. V = 3.14159 * 100 cm² * 5 cm = 1570.795 cm³.
So, the volume of the cylinder is approximately 1570.8 cubic centimeters, to the nearest tenths place.
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