Surface area of Composite Figures:
Example: A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy. |
Solution: Let r be the radius of the hemisphere and h be the height of the conical part of the toy. Then, r = 4.2 cm, height of cone = (10.2 - 4.2) cm = 6 cm. Also, radius of the base of the cone = 4.2 cm
Surface Area of Composite Figure = CSA of cone + CSA of hemisphere = =
=
=
Composite Figures |
A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures. That is, a figure is formed by a rectangle and triangle as shown below. The area of a composite figure is calculated by dividing the composite figure into basic figures and then using the relevant area formula for each basic figure. Example:- Find the area of the following composite figure: Solution: The figure can be divided into a rectangle and triangle as shown below. So, the area of the composite figure is 216 cm2.
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A cylinder is of height 31 cm and base radius 7 cm. A hemisphere of radius equal to base radius of cylinder is cut off from one end radius of cylinder is cut off from one end a cone of maximum height from remaining part is also cut off. The curved surface area of the remaining part is ______________ | |||
Right Option : A | |||
View Explanation |
Three cubes each of side 5 cm are joined end to end. Find the surface area of the resulting cuboid. | |||
Right Option : A | |||
View Explanation |
Find the surface area of the given figure , if dimensions of the 3-D object is in cm. | |||
Right Option : B | |||
View Explanation |
In terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
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Abhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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A marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.