Introduction:
Surface Areas and Volumes:
Surface Area is the area of the outer part of any 3D figure and Volume is the capacity of the figure i.e. the space inside the solid. To find the surface areas and volumes of the combination of solids, we must know the surface area and volume of the solids separately. Some of the formulas of solids are –
1.To determine the surface area of an object formed by combining any two of the basic solids, namely, cuboid, cone, cylinder, sphere and hemisphere.
2.To find the volume of objects formed by combining any two of a cuboid, cone, cylinder, sphere and hemisphere.
3.Given a right circular cone, which is sliced through by a plane parallel to its base, when the smaller conical portion is removed, the resulting solid is called a Frustum of a Right Circular Cone.
The formulae involving the frustum of a cone are:
Volume of the frustum = \frac { 1 }{ 3 } ×π×h(r_{ 1 }^{ 2 }+r_{ 2 }^{ 2 }+r_{ 1 }r_{ 2 })
CSA of the container = π( r_{1} + r_{2}) × l
l = \sqrt{h² + ( r_{1} - r_{2})² }