NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.4 Solutions

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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volume Exercise 13.4 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.
    A box contains 120 discs, which are numbered from 1 to 120. If one disc is drawn at random from the box, find the probability that
    (i) it bears a 2-digit number
    (ii) the number is a perfect square.


      • 2.
        Let $p$, $q$ and $r$ be three distinct prime numbers. Check whether $pqr + q$ is a composite number or not. Further, give an example for three distinct primes $p$, $q$, $r$ such that
        (i) $pqr + 1$ is a composite number
        (ii) $pqr + 1$ is a prime number


          • 3.

            On the day of her examination, Riya sharpened her pencil from both ends as shown below.

            The diameter of the cylindrical and conical part of the pencil is 4.2 mm. If the height of each conical part is 2.8 mm and the length of the entire pencil is 105.6 mm, find the total surface area of the pencil.


              • 4.

                In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


                  • 5.
                    A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

                      • $60^\circ$
                         

                      • $45^\circ$
                      • $30^\circ$
                      • $90^\circ$

                    • 6.
                      Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]

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