Question

EXERCIS
If a solid right circular cylinder is made of iron
heated to increase its radius and height by 1%e
17
then the volume of the solid is increased by:
(1) 1.01%
(2) 3.03%
(3) 2.02%
(4) 1.2%​

Answer 1

Answer:

Your Answer is

b) 3.03%

Step-by-step explanation:

Let initial radius and height of cylinder be 'r' and 'h' respectively

Initial volume, V 1 =πr^2 h

New radius=r+1 % of r=1.01r

New height=h+1% of 1.01h

New volume,V  2 =π(1.01r)^2 ×1.01h=1.0303πr^2 h

% increase in volume=  πr^2 h (1.0303−1)/πr^2 h ×100=3.03%