Volume is a three-dimensional scalar quantity. If the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Assume a cone and a cylinder such that the radius of the base of both the figures is r units, while the height of the cone and cylinder both is h units.
The volume of the cone with radius r units and height h units now can be written as,
Volume of the cone = (1/3) × π × r² × h units³
The volume of the cylinder with a radius of r units and the height of h units now can be written as,
Volume of the Cylinder = π × r² × h units³
Taking the ratio of the volume of the cone and the volume of the cylinder,
Volume of the cone/Volume of the cylinder = (1/3)πr²h units³ / πr²h units³
Volume of the cone/Volume of the cylinder = 1/3
Volume of the cylinder = 3 × Volume of the cone
Hence, if the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
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