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The expression “=1/3πhr^2” represents the formula for the volume of a cone
The expression “=1/3πhr^2” represents the formula for the volume of a cone. Let’s break down the formula and understand its components:
π (Pi): Pi is a mathematical constant used to represent the ratio of a circle’s circumference to its diameter. Its approximate value is 3.14159, but for most calculations, it is sufficient to use 3.14.
h: The variable “h” represents the height of the cone, which is the vertical distance from the tip (apex) to the base.
r: The variable “r” is the radius of the base of the cone. The radius is the distance from the center of the base to any point on its edge.
Now, let’s understand how the formula is derived:
The volume of a cone can be obtained by calculating the volume of a cylinder with the same base and height and then dividing it by three. Since the volume of a cylinder is given by the formula V = πr^2h, we can simply divide this by three to get the volume of the cone.
Therefore, the expression “=1/3πhr^2” represents the formula for calculating the volume of a cone, where h is the height and r is the radius of the base.
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