The radius and height of a solid cylinder is increased by 20% and 16\(\frac{2}{3}\)% respectively . What is the percentage change in its volume?
Answer & explanation
Correct answer: option 4
Old : New
radius: 5 : 6
height : 6 : 7
Volume: 52×6 : 62×7
25 : 42 (*Inc. by 17)
Increase % = \(\frac{17}{25}\)×100 = 68%
OR
Volume of cylinder = \(\pi \)r2h .... (i)
New volume = \(\pi \) (\(\frac{6}{5}\)r)2 × (\(\frac{7}{6}\)h) = \(\frac{42}{25}\) \(\pi \)r2h
= 68% increase