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Doctors Medicines MCQs Q&A

  1. \(3\sqrt 3\)
  2. \(4 \sqrt 3 \)
  3. \(8 \sqrt 3 \)
  4. \(6 \sqrt 3 \)
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1 Answers

Option 4 : \(6 \sqrt 3 \)

Given:

Edge length of cubes = 3 cm, 4 cm, 5 cm

Formula:

Volume of cube = a3              

Concept:

When any new material is formed by melting some other then their volume remains the same

Total volume of cubes melted = Volume of bigger (new) cube

Calculation:

According to the question,

a3 = 33 + 43 + 53

a3 = 216

a = 6 cm

∴ Diagonal of cube = √3a = 6√3 cm
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“What is the different between height and radius of solid cylinder” Which of the following option is sufficient alone to find the answer A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. ?
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