Question
Volumes of pyramids and cones
Answers
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The formula for the volume of a pyramid is:
V = (1/3) * B * h
where V is the volume, B is the base area, and h is the height.
The formula for the volume of a cone is:
V = (1/3) * π * r^2 * h
where V is the volume, π is pi (approximately 3.14159), r is the radius of the base, and h is the height.
Both formulas have the same (1/3) factor in front.
The difference is that the base of a pyramid can have any shape (square, rectangle, triangle, etc.), whereas the base of a cone is always a circle. Therefore, the base area of a pyramid can be calculated differently depending on the shape of the base.
In conclusion, to find the volume of a pyramid, you need to know the base area and height, while to find the volume of a cone, you need to know the radius, height, and pi.
V = (1/3) * B * h
where V is the volume, B is the base area, and h is the height.
The formula for the volume of a cone is:
V = (1/3) * π * r^2 * h
where V is the volume, π is pi (approximately 3.14159), r is the radius of the base, and h is the height.
Both formulas have the same (1/3) factor in front.
The difference is that the base of a pyramid can have any shape (square, rectangle, triangle, etc.), whereas the base of a cone is always a circle. Therefore, the base area of a pyramid can be calculated differently depending on the shape of the base.
In conclusion, to find the volume of a pyramid, you need to know the base area and height, while to find the volume of a cone, you need to know the radius, height, and pi.