1.

The volume of a cylinder is obtained by multiplying the area of its base by the height​

Answer»

his statement is trueEXPLANATIONVolume refers to the space that is occupied by a three dimensional solid. hence, it is a 3D quantity.A right Cylinder is a three dimensional solid with the BASIC shape "circle". we can visualise circle as a solid with lots of multiple circular disc over one another. The top and bottom circle of a cylinder are congruent.Just like we find the volume of a cube or CUBOID, we can use the similar logic to find the volume of a cylinder.Volume of a cuboid = length × breath × heightAs we can visualise cuboid as a stack of rectangular PLATES. Here, l × B shows the area of the base of the cuboid and we are multiplying the base area with the height. Hence, The volume of a cylinder is obtained by multiplying the area of its base by the heightWe can now derive the the formula for volume of a cylinder:The radius of the base of the cylinder be "r"LET the height of the cylinder be "h" The area of a circle with radius "r" is :⟹ πr²The base area times height is:⟹ πr²hπr²h is the area of a cylinder with radius of the base "r" and height "h"



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