NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.5 Solutions

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NCERT Solutions for Class 10 Maths Chapter 13 Surface Areas and Volume Exercise 13.5 Solutions are based on all the topics covered in the chapter, surface areas and volumes. 

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Exercise Solutions of Class 10 Maths Chapter 13 Surface Areas and Volume

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CBSE X Related Questions

  • 1.
    If \(PQ\) and \(PR\) are tangents to the circle with centre \(O\) and radius \(4 \text{ cm}\) such that \(\angle QPR = 90^{\circ}\), then the length \(OP\) is

      • \(4 \text{ cm}\)
      • \(4\sqrt{2} \text{ cm}\)
      • \(8 \text{ cm}\)
      • \(2\sqrt{2} \text{ cm}\)

    • 2.
      PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

        • \(a^2 + (a + 2)^2 = (2b)^2\)
        • \(b^2 = a + 4\)
        • \(2a^2 + 1 = b^2\)
        • \(b^2 = a + 1\)

      • 3.
        A trader has three different types of oils of volume \(870 \text{ l}\), \(812 \text{ l}\) and \(638 \text{ l}\). Find the least number of containers of equal size required to store all the oil without getting mixed.


          • 4.
            Assertion (A) : If probability of happening of an event is \(0.2p\), \(p>0\), then \(p\) can't be more than 5.
            Reason (R) : \(P(\bar{E}) = 1 - P(E)\) for an event \(E\).

              • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
              • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
              • Assertion (A) is true, but Reason (R) is false.
              • Assertion (A) is false, but Reason (R) is true.

            • 5.
              Three tennis balls are just packed in a cylindrical jar. If radius of each ball is \(r\), volume of air inside the jar is

                • \(2\pi r^3\)
                • \(3\pi r^3\)
                • \(5\pi r^3\)
                • \(4\pi r^3\)

              • 6.
                A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

                  • \(314 \sqrt{2}\) \(\text{cm}^{2}\)
                  • \(314\) \(\text{cm}^{2}\)
                  • \(\frac{3140}{3}\) \(\text{cm}^{2}\)
                  • \(3140 \sqrt{2}\) \(\text{cm}^{2}\)

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