Multiple choice

What will be the total surface area of the given cylinder? (A) Volume of cone having height 21 cm is equal to 1078 cm3 and area of base of cone is ¼ of area of base of cylinder. (B) Ratio of height and diameter of given cylinder is 3:4. (C) Height is 7 cm more than radius of cylinder

  1. Either A or B and C together

  2. Either A and B or B and C

  3. Any two of them

  4. Any one of them

  5. Either A and B or A and C
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement A determines the cylinder's radius through the base-area relationship and cone volume. Statements B and C together determine the radius and height directly, while A with either B or C also supplies enough information. Thus any two statements are sufficient.

AI explanation

To find the total surface area of a cylinder using the formula two times pi times radius times the sum of radius and height, both the radius and height must be determined. Statement A provides the cone base area allowing the cylinder radius to be found, while Statement B and Statement C independently provide the ratio or difference needed to find the height. Since any two statements provide the necessary radius and height, the total surface area can be calculated from any two of them.

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