Surface Areas and Volumes

A cone formed by rotating

A cone formed by rotating a right-angled triangle about one of its perpendicular sides. It has a circular base, vertex (apex), height (h), radius (r),

Curved Surface Area = πrl

Curved Surface Area = πrl and Total Surface Area = πr(l + r). The curved surface can be visualized as a sector of a circle when the cone is unfolded,

A three

A three-dimensional figure where all points are equidistant from a fixed center point. Surface Area = 4πr². A sphere can be visualized as rotating a s

Half of a sphere cut by

Half of a sphere cut by a plane passing through its center. Curved Surface Area = 2πr² and Total Surface Area = 3πr² (including the flat circular base

Volume = (1/3)πr²h

Volume = (1/3)πr²h. This is exactly one-third the volume of a cylinder with the same base and height, demonstrated through practical sand-filling expe