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Home Aptitude Volume and Surface Area Comments

  • Question
  • The height of a cone is 24 cm and the area of the base is 154 cm2 . What is the curved surface area (in cm2) of the cone?


  • Options
  • A. 484
  • B. 550
  • C. 525
  • D. 515

  • Correct Answer
  • 550 

  • Tags: Bank Exams

    Volume and Surface Area problems


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    • 1. The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18 cm and the height of the prism is 20 cm, then what is the volume (in cm3) of the prism?

    • Options
    • A. 60?3
    • B. 30?6
    • C. 60?2
    • D. not know
    • Discuss
    • 2. What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?

    • Options
    • A. 2
    • B. 4
    • C. 3
    • D. 6
    • Discuss
    • 3. In the given figure, ?QRU = 72°, ?TRS = 15°, ?PSR = 95° , then what is the value (in deg) of ? PQR?

    • Options
    • A. 85
    • B. 95
    • C. 75
    • D. 90
    • Discuss
    • 4. ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

    • Options
    • A. 1 : 4
    • B. 1 : 2
    • C. 1 : 8
    • D. 1 : 16
    • Discuss
    • 5. PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

    • Options
    • A. 3 cm
    • B. 4 cm
    • C. 5 cm
    • D. 2 cm
    • Discuss
    • 6. A right circular solid cylinder has radius of base 7 cm and height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 2 : 3 : 6. What is the total surface area (in cm2) cuboid?

    • Options
    • A. 215633
    • B. 215693
    • C. 214833
    • D. 204833
    • Discuss
    • 7. A right circular cylinder is formed. A = sum of total surface area and the area of the two bases. B = the curved surface area of this cylinder. If A : B = 3 : 2 and the volume of cylinder is 4312 cm3, then what is the sum of area (in cm2) of the two bases of this cylinder?

    • Options
    • A. 154
    • B. 308
    • C. 462
    • D. 616
    • Discuss
    • 8. A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material was also wasted in this process. What is the radius (in cm) of each new sphere?

    • Options
    • A. 4.2 (23)
    • B. 2.1 23
    • C. 2.1 43
    • D. 4.2 43
    • Discuss
    • 9. A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?

    • Options
    • A. 286.2
    • B. 314.32
    • C. 250.64
    • D. 386.5
    • Discuss
    • 10. PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?

    • Options
    • A. 8 ? 4?2
    • B. 16 + 8?2
    • C. 16?2 ? ?16
    • D. 16 ? 8?2
    • Discuss


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