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Check out the answers to the exercises including examples and optional by clicking a link below, or learn from the concepts. On signing up you are confirming that you have read and agree to Terms of Service. In this chapter, we will learn What is an AP - and what is First term a and Common Difference d of an Arithmetic Progression Finding n th term of an AP a n Finding n using a n formula Finding AP when some terms are given Finding n th term from the last term Finding Sum of n terms of an AP S n - both formulas Finding number of terms when Sum is given If n th term is given, finding S Some statement questions using a n and S n formulas, including optional exercise Check out the answers to the exercises including examples and optional by clicking a link below, or learn from the concepts.
Serial order wise Ex 5. Checking if AP or not and finding a, d. Finding nth term. Finding n. Finding AP. Finding nth term from end. Statement questions - nth term. What is the greatest diameter the hemisphere can have? Find the surface area of the solid. A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter d of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area. A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2. Also, find the cost of the canvas of the tent at the rate of Rs per m 2.
Note that the base of the tent will not be covered with canvas. From a solid cylinder whose height is 2. Find the total surface area of the remaining solid to the nearest cm 2. A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder is 10 cm, and its base is of radius 3. The surface area of a solid which is a combination of two or more solids is calculated by adding the surface areas of the individual solids which are visible in the new solid formed.
For Example: If we consider the surface of the newly formed object as given in the figure above, we would be able to see only the curved surfaces of the two hemispheres and the curved surface of the cylinder.
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