A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?
Question
A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?
Solution
The volume of a cylinder is given by 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: Substitute the given values into the formula. In this case, r = 7m and h = 14m. So, V = π(7m)²(14m).
Step 2: Square the radius. (7m)² = 49m².
Step 3: Multiply the squared radius by the height. 49m² * 14m = 686m³.
Step 4: Multiply the result by π. 686m³ * π ≈ 2155.2m³.
So, the volume of the cylinder is approximately 2155.2 cubic meters, to the nearest tenth.
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