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Half Cylinder Radius Formula:
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The half cylinder radius formula calculates the radius of a half cylinder given its volume and height. This formula is derived from the volume formula of a half cylinder rearranged to solve for radius.
The calculator uses the half cylinder radius formula:
Where:
Explanation: The formula is derived by rearranging the volume formula for a half cylinder \( V = \frac{1}{2} \pi r^2 h \) to solve for radius \( r \).
Details: Calculating the radius of a half cylinder is important in various engineering, architectural, and manufacturing applications where half cylindrical shapes are used. It helps in material estimation, structural design, and spatial planning.
Tips: Enter the volume in cubic units and height in linear units. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is a half cylinder?
A: A half cylinder is a three-dimensional shape formed by cutting a full cylinder in half lengthwise, resulting in a D-shaped cross-section.
Q2: How is this different from a full cylinder radius calculation?
A: For a full cylinder, the radius formula is \( r = \sqrt{\frac{V}{\pi h}} \), while for a half cylinder it's \( r = \sqrt{\frac{2V}{\pi h}} \) due to the halved volume.
Q3: What units should I use?
A: Use consistent units throughout - volume in cubic units (e.g., m³, cm³) and height/radius in linear units (e.g., m, cm).
Q4: Can this formula be used for partial cylinders?
A: This formula is specifically for half cylinders (exactly 50% of a full cylinder). For other partial cylinders, different formulas apply.
Q5: What if I have diameter instead of radius?
A: The calculator provides radius. If you need diameter, simply multiply the radius result by 2.