A cylinder has a base radius of 10m and a height of 18m. What is its volume in cubic m, to the nearest tenths place?
Question
A cylinder has a base radius of 10m and a height of 18m. 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 = 10m and h = 18m. So, V = π(10m)²(18m).
Step 2: Calculate the square of the radius, which is (10m)² = 100m².
Step 3: Multiply the result by the height and π. So, V = π * 100m² * 18m = 1800π m³.
Step 4: To get the volume to the nearest tenths place, multiply 1800 by π and round to the nearest tenth.
So, the volume of the cylinder is approximately 5654.8 cubic meters.
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