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Welcome to class!
In today’s class, we will be talking about the volume of a cone. Enjoy the class!
The Volume of a Cone
A cone is a three-dimensional figure with one circular base. A curved surface connects the base and the vertex.
The volume of a 3 -dimensional solid is the amount of space it occupies. Volume is measured in cubic units (in³, ft³, cm³, m³, etcetera). Be sure that all of the measurements are in the same unit before computing the volume.
The volume V of a cone with radius r is one-third the area of the base B times the height h
V = 1/3 Bh or V = 1/3πr²h, where B = πr²
Note: The formula for the volume of an oblique cone is the same as that of a right one.
Example:
Find the volume of the cone shown. Round to the nearest tenth of a cubic centimetre.
Solution
From the figure, the radius of the cone is 88 cm and the height is 18 cm.
The formula for the volume of a cone is,
V = 1/3πr²h
Substitute 8 for r and 18 for h.
V = 1/3π (8) ² (18)
Simplify.
V = 1/3π (64)(18)
=384π
≈1206.4
Therefore, the volume of the cone is about 1206.4 cubic centimetres.
In our next class, we will be talking about the Construction of Quadrilateral Polygon. We hope you enjoyed the class.
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