Surface Area of Solids
Surface Area of Solids: Overview
This Topic covers sub-topics such as Curved Surface Area of Cylinder, Sphere, Cone, Total Surface Area of Cylinder, Hemisphere, Curved Surface Area of a Hemisphere, Total Surface Area of a Hemisphere, Surface Area of a Sphere and, Surface Area
Important Questions on Surface Area of Solids
Jumbo circus team is a very famous circus company in south India. They roam around in the different parts of the counts and host the circus treat for the people. When they are settling at a place, they will erect their huge circus tent for performing the show and small tents for them to stay in those days. The stage tent consists of a cylinder capped by a cone.
There is a bird bath for the birds of circus in the cylindrical shape with a hemispherical depression at one end as shown in the figure. The height of the cylinder is and its radius is . Find the total surface area of the bird-bath and use .

Akhil runs a toy manufacturing company. He produces a wide variety of toys suitable for kids of different ages. One of his toys is in the shape of a cone. If the diameter of the base of the right circular cone is and height . Find the area of the curved surface area of the cone in .

Akhil runs a toy manufacturing company. He produces a wide variety of toys suitable for kids of different ages. Calculate the cost required to paint a ball that is in the shape of a sphere having a radius of . If the cost of painting the ball is . Take

Jumbo circus team is a very famous circus company in south India. They roam around in the different parts of the counts and host the circus treat for the people. When they are settling at a place, they will erect their huge circus tent for performing the show and small tents for them to stay in those days. The stage tent consists of a cylinder capped by a cone.
The height and radius of the base of a conical portion is metre and metre. To make this conical part, a cloth is chosen which have a breadth of metres. What will be the cost of the cloth to make the tent if the cost of the cloth per metre length is ?

The above shape is a hollow hemisphere.

The above figure is a _____ hemisphere.

Identify the hollow hemisphere from the above solids.

Identify the given shape and find its curved surface area if and .

Identify the given shape and find its curved surface area if and .

Explain in detail about the shape of a sphere and find the surface area of a sphere whose radius is units.

The hemisphere has only one surface which is flat.

The hemisphere has one curved surface and one flat surface.

The surface of a hemisphere is curved.


How many surface does a hemisphere have?

A metal pipe is long. The inner diameter of a cross-section is , the outer diameter being . Find its total surface area.

The diameters of the two circular ends of the bucket are and . The height of the bucket is . The capacity of the bucket is

If we join two hemispheres of the same radius along their bases, then we get a

The diameters of the two circular ends of the bucket are and . The height of the bucket is . The capacity of the bucket is

The ratio of slant height and radius of a cone is . If its curved surface area is , then find its radius in .
