Question

The base radius and height of a cylinder are increased by 100%.Find the increase percentage in volume

Answer 1

300% is the volume
think so

Answer 2

volume of cylinder(voc) = pi × r^2 × h

100℅ increase in r and h makes them 2r and 2h

so, voc(new)= pi × (2r)^2 × 2h

Therefore, voc(new) = 8 × voc, because 2^3 is 8 and a^b × a^c = a^(b+c) as per exponents rule. Here a=2, b=2 and c=1.

Now, percentage change(pc) = ((8voc-voc) / voc) ×100 = (7voc / voc) × 100 = 700%

So there will be 700% increase in volume of cylinder.

Thank you :)