A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?
Question
A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic ft, to the nearest tenths place?
Solution
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
Step 1: Find the radius. The diameter of the cylinder is 12ft, so the radius (which is half the diameter) is 12/2 = 6ft.
Step 2: Substitute the radius and the height into the formula. The height is also 12ft, so the volume V is π(6ft)²(12ft).
Step 3: Calculate the volume. (6ft)² is 36ft², so the volume is π(36ft²)(12ft) = 432π cubic ft.
Step 4: Approximate π as 3.14 to find the volume to the nearest tenth. The volume is approximately 432*3.14 = 1357.2 cubic ft.
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