Back to: MATHEMATICS SS1
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.
Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.
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