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The formula to calculate cross sectional area of a cylinder is pi (a constant value, approximately 3.14) multiplied by the radius of the cylinder (half the diameter, so half the distance from on side of the circle to the other) squared (multiplied again by itself) So if the circular end of the cylinder is 10 centimeters across, then the diameter is 10cm and the radius is 5cm. The cross sectional area would be calculated as: 3.14 x 5cm x 5cm = 78.5cm squared.
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How are the formulas for the area of a circle and the volume of a cylinder related?
The volume of a cylinder is the cross-sectional area of the cylinder multiplied by its length. The perpendicular cross-section of a cylinder is a circle.
Cross sectional area of a cylinder?
= area of a circle = pi*r^2 or length x width if the cross section is longitudinal (since the area will be rectangular)
How do you calculate volume in prism?
Volume of prism = area of cross section x length.
What is a cross section of a cylinder along its length called?
A cross section of a cylinder along its length is called a rectangle. When a cylinder is cut along its length, the resulting shape is a rectangle with a length equal to the circumference of the cylinder and a height equal to the height of the cylinder. The area of this rectangle represents the lateral surface area of the cylinder.
How do you calculate cross sectional area?
To calculate the cross-sectional area of a shape, you need to determine the shape of the cross-section first (e.g., square, circle, triangle). Then, use the appropriate formula for that shape. For example, the formula for the cross-sectional area of a square is side length squared, for a circle it is pi times the radius squared, and for a triangle it is base times height divided by 2. Finally, plug in the given dimensions into the formula to calculate the cross-sectional area.
