NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.3 Solutions

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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volume Exercise 13.3 Solutions are based on the following concepts:

  • Height of the cylinder based on given condition
  • Radius of the resulting sphere
  • Number of cones for a given situation.
  • Number of coins formed by melting a cuboid structured object.

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CBSE X Related Questions

  • 1.
    If 14th term of an A.P. is 4 and its 15th term is zero, then its first term is

      • –48
      • –56
      • 56
      • 48

    • 2.
      PQ is tangent to the circle with centre O such that OP = 2OQ. m\(\angle\)OPQ is

        • 15\(^\circ\)
        • 60\(^\circ\)
        • 45\(^\circ\)
        • 30\(^\circ\)

      • 3.
        Seema daily goes to a park to exercise on machines available there. When Seema spent 15 minutes on exercise bicycle and 30 minutes on double cross walker, she received a message of burning 435 calories on her fitness watch. When she spent 30 minutes on exercise bicycle and 40 minutes on double cross walker, she received a message of burning 690 calories. Based on above information, answer the following questions:

        38(i) Represent the above situation in terms of a pair of linear equations in two variables.


          • 4.
            There are many varieties of mushrooms available in the world. One such mushroom ‘Amanita muscaria’ has a upper part which is like red cap (hemispherical) and lower part is like white stem (cylindrical). The hemispherical cap’s radius = 3 cm and cylindrical stem is 2 cm high with diameter 1.4 cm. Considering mushroom a solid object, answer the following questions:

            36(i) What is the total height of a mushroom ?


              • 5.
                In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions:

                37(i) Find \(m\angle AOP\).


                  • 6.
                    \(17 \times 11 \times 13 + 11\) is

                      • a prime number.
                      • multiple of 17.
                      • a composite number.
                      • an odd number.

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