The volume of a cylinder is given by the formula 𝑉=𝜋𝑟2ℎ. Find the height ℎ if the volume is 15.7 cubic feet, the radius is 3 feet and 𝜋 is 3.14.The height, ℎ,
Question
The volume of a cylinder is given by the formula 𝑉=𝜋𝑟2ℎ. Find the height ℎ if the volume is 15.7 cubic feet, the radius is 3 feet and 𝜋 is 3.14.The height, ℎ,
Solution
To find the height (h) of the cylinder, we can rearrange the formula for the volume of a cylinder to solve for h. The formula is V = πr²h.
Step 1: Substitute the given values into the formula. We know that V = 15.7 cubic feet, r = 3 feet, and π = 3.14. So, we have 15.7 = 3.14 * (3)² * h.
Step 2: Simplify the right side of the equation. (3)² = 9, so we have 15.7 = 3.14 * 9 * h.
Step 3: Simplify further. 3.14 * 9 = 28.26, so we have 15.7 = 28.26 * h.
Step 4: Solve for h by dividing both sides of the equation by 28.26. h = 15.7 / 28.26.
Step 5: Calculate the value of h. h ≈ 0.56 feet.
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