A solid cone of base radius 10cm is cut into two parts through the mid-point of its height , by - Maths - Surface Areas and Volumes

Question

A solid cone of base radius 10cm is cut into two parts through
the mid-point of its height , by a plane parallel to its base find
the volumes of the two parts of the cone

Ashi Jain · Accepted Answer

let the height of the cone be H and the radius be R this cone is divided into two parts through the mid-point of its axis therefore AQ=1/2 AP since

therefore triangle AQD is similar to the triangle APC by the condition of similarity

volume of the cone ABC=

volume of the frustum=volume of the cone ABC-volume of the cone AED

volume of the cone AED=

therefore

A solid cone of base radius 10cm is cut into two parts through the mid-point of its height , by a plane parallel to its base. find the volumes of the two parts of the cone