soln::
volume of a cone = 1/3 (pi) * (radius)2*( height)
V = 1/3 (pi)* r2h
V = K r2h ; K = 1/3 (pi)
dv = k 2r * (dr)*h + k r2(dh)
dv/ v = 2 (dr/r) + dh/h
(dv/ v)* 100 = 2 (dr/r)*100 + (dh/h)*100
(dv/ v)* 100 = 2 * 20 + 20
= 60
so change in volume = 60%
Thanks and Regards,
Ajay verma,
askIITians faculty,
IIT HYDERABAD
