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Home ‣ Aptitude ‣ Volume and Surface Area Comments
  • Question

  • A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is


  • Options
  • A. 3:1
  • B. 1:3
  • C. 7:3
  • D. 3:7

  • Correct Answer
  • 7:3 

    • Tags: Bank Exams

    Volume and Surface Area problems

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    • 1. The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : ?5 = 2.23 and ? = 22/7 ]

    • Options
    • A. 1.42 litres
    • B. 1.53 litres
    • C. 1.71 litres
    • D. 1.82 litres
      • Discuss
    • 2. The height and the total surface area of a right circular cylinder are 4 cm and 8? sq.cm. respectively. The radius of the base of cylinder is

    • Options
    • A. (2?2 - 2) cm
    • B. (2 - ?2) cm
    • C. 2 cm
    • D. ?2 cm
      • Discuss
    • 3. The radius of a wire is decreased to one-third. If volume remains the same, length will increase by

    • Options
    • A. 1.5 times
    • B. 3 times
    • C. 6 times
    • D. 9 times
      • Discuss
    • 4. Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is

    • Options
    • A. 12 cm
    • B. 14 cm
    • C. 16 cm
    • D. 18 cm
      • Discuss
    • 5. The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is

    • Options
    • A. 27:20
    • B. 20:27
    • C. 4:9
    • D. 9:4
      • Discuss
    • 6. ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If ?DBC = 35°, Then ?AED measures

    • Options
    • A. 35°
    • B. 45°
    • C. 55°
    • D. 90°
      • Discuss
    • 7. In a triangle ABC, ?A = 70°, ?B = 80° and D is the incentre of ?ABC. ?ACB = 2x° and ?BDC = y°. The values of x and y, respectively are

    • Options
    • A. 15, 130
    • B. 15, 125
    • C. 35, 40
    • D. 30, 150
      • Discuss
    • 8. In a right angled triangle ?DEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is

    • Options
    • A. 3 cm
    • B. 4 cm
    • C. 6 cm
    • D. 12 cm
      • Discuss
    • 9. 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
    • 10. 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

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