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Home ‣ Aptitude ‣ Volume and Surface Area Comments
  • Question

  • If the volumes of two right circular cones are in the ratio 1:4 and their diameters of bases in the ratio 4:5, then their heights will be in the ratio:


  • Options
  • A. 1: 5
  • B. 4:25
  • C. 16:25
  • D. 25:64

  • Correct Answer
  • 25:64 

    • Tags: Bank Exams

    Volume and Surface Area problems

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    • 1. Radius of cross section of a solid right circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is (Take ? = 22/7)

    • Options
    • A. 56 cm
    • B. 7 cm
    • C. 5.6 cm
    • D. 0.7 cm
      • Discuss
    • 2. In an isosceles triangle ?ABC, AB = AC and ?A = 80°. The bisector of ?B and ?C meet at D. The ?BDC is equal to

    • Options
    • A. 90°
    • B. 100°
    • C. 130°
    • D. 80°
      • Discuss
    • 3. Points P , Q and R are on a circle such that ?PQR = 40° and ?QRP = 60° . Then the subtended angle by arc QR at the centre is

    • Options
    • A. 80°
    • B. 120°
    • C. 140°
    • D. 160°
      • Discuss
    • 4. A right circular conical structure stands on a circular base of 21m diameter and is 14m in height. The total cost of colour washing for its curved surface at Rs. 6 per sq. m. is (Take ? = 22/7 )

    • Options
    • A. 4365
    • B. 4465
    • C. 3465
    • D. 3365
      • Discuss
    • 5. Length of the sides of a triangle are a, b, c respectively. If a2 + b2 + c2 = ab +bc + ca then the triangle is

    • Options
    • A. isosceles
    • B. equilateral
    • C. scalene
    • D. right-angled
      • Discuss
    • 6. Which of the following is a true statement?

    • Options
    • A. Two similar triangles are always congruent.
    • B. Two similar triangles have equal areas
    • C. Two triangles are similar if their corresponding sides are proportional
    • D. Two polygons are similar if their corresponding sides are proportional
      • Discuss
    • 7. In a triangle ABC, OB and OC are the bisectors of angles ? B and ?C respectively. ?BAC = 60°. Then the angle ?BOC will be

    • Options
    • A. 150°
    • B. 120°
    • C. 100°
    • D. 90°
      • Discuss
    • 8. If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

    • Options
    • A. 37°
    • B. 41°
    • C. 42°
    • D. 49°
      • Discuss
    • 9. What is the slope of the line 2x + 3y = 12?

    • Options
    • A. 2/3
    • B. 3/2
    • C. -3/2
    • D. -2/3
      • Discuss
    • 10. What is the diameter (in cm) of a sphere of surface area 6.16 sq cm?

    • Options
    • A. 1.4
    • B. 0.7
    • C. 2.8
    • D. 2.1
      • Discuss

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