Multiple choice

In each of the following questions, a question is followed by three statements numbered I, II and III. Read all the statements and answer accordingly. What will be the increase percent in volume? Statement I: An ice cube is dip into 10 liter water Statement II: If radius of a cylinder increases by 20% and height increases by 10% Statement III: If the height of ice cube is 10 cm.

  1. All I, II and III

  2. II alone and I and III together

  3. I and II together

  4. II and III alone

  5. II alone

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cylinder = πr²h. New radius = 1.2r, new height = 1.1h. New volume = π(1.2r)²(1.1h) = 1.584πr²h. Increase = 58.4%. Statement II alone gives the formula and percentage increases needed. Statements I and III about ice cube (10cm height in 10L water) are irrelevant to calculating the percent increase in cylinder volume. Option B 'II alone and I and III together' is poorly worded but suggests II is the key.