the diagram shows a solid made by joining a solid hemisphere to a solid circular cone. the centre of the plane face of the cone coincides with the centre of the plane face of the hemisphere. the radius of the hemisphere is 3 cm. the radius of the base of the cone is 3 cm. the volume of the solid is 30 pi cm3. work out the total surface area of the solid.

1. cone

   radius, height = 2, 10

  volume = 13.33

2. hemisphere

   radius=  14

  volume = 1829.33

Step-by-step explanation:

The  region  described  has  a  radius r=2−y/5, therefore, the volume is a cone

radius, height = 2, 10

volume =

= 13.33

2. The  region  ∫14 0 π(196 - h^2) dh   has  a  radius 196 - h^2,  so the volume is a hemisphere

radius  = 14

volume

=

=

=1829.33

step-by-step explanation:

in which figure is point g a centroid