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 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

      • $60^\circ$
         

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

    • 2.

      From one face of a solid cube of side 14 cm, the largest possible cone is carved out. Find the volume and surface area of the remaining solid.
      Use $\pi = \dfrac{22}{7}, \sqrt{5} = 2.2$


        • 3.
          Find the smallest value of $p$ for which the quadratic equation $x^2 - 2(p + 1)x + p^2 = 0$ has real roots. Hence, find the roots of the equation so obtained.


            • 4.
              In \(\triangle ABC, \angle B = 90^\circ\). If \(\frac{AB}{AC} = \frac{1}{2}\), then \(\cos C\) is equal to

                • \(\frac{3}{2}\)
                • \(\frac{1}{2}\)
                • \(\frac{\sqrt{3}}{2}\)
                • \(\frac{1}{\sqrt{3}}\)

              • 5.
                Find the zeroes of the polynomial: \[ q(x) = 8x^2 - 2x - 3 \] Hence, find a polynomial whose zeroes are 2 less than the zeroes of \(q(x)\)


                  • 6.

                    In the adjoining figure, \( AP = 1 \, \text{cm}, \ BP = 2 \, \text{cm}, \ AQ = 1.5 \, \text{cm}, \ AC = 4.5 \, \text{cm} \) Prove that \( \triangle APQ \sim \triangle ABC \).
                    Hence, find the length of \( PQ \), if \( BC = 3.6 \, \text{cm} \).

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