Question

the diameter of a sphere is decrease by 25%. by what percent its curved surface arra will decrease?​

Answer 1

Answer:

43.75%

Step-by-step explanation:

Curved surface area of sphere(c) = 4*pi*r^2

Diameter = 2*r

Suppose new radius be r' and new curved surface area be c'

c'/c = (r'/r)^2

c'/c = (75/100)^2

c'/c = 9/16

(c-c')/c = 7/16

So percentage change in area = 43.75%