Question

The radius of a right circular cylinder increased by 50% Find the percentage increase in volume

• A. 120%
• B. 125%
• C. 150%
• D. 130%

Answer 1

Answer: (B)

125%

Let the radius of given cylinder$=100cm.$

Height $=100cm.$

Now, We know that

Volume of cylinder$=\pi r^{2}h$

$V=\pi \times 100\times 100\times 100$

$V=1000000\pi$

According to given question,

$Newradius=(100+50)cm.$

$=150cm.$

Now, Volume of cylinder

$=2250000\pi -1000000\pi$

$=1250000\pi$

Now, percentage

Volume in cylinder$=125\%$

Hence, this is the answer.