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Grade: 12th pass

                        

The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease?

The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease?

one month ago

Answers : (1)

Pawan Prajapati
askIITians Faculty
4730 Points
							. Let diameter of the sphere = d units. 

Radius = 

d . 
- umts. 2 

Surface area = 4x(:J sq. 
units = rril2 sq. units. ..•(i) 
Diameter of new sphere = (d -t;! d ) units = d units. 
Radius of new sphere = 8d units. 
.. Surface area of new sphere = 41t(idJ 

= 9 n_a_i-2 sq. um•ts. ...(i'i') 
16 

Decrease = (M2 - :aM2 ) sq. units = 
7 d 2 


rrd2 sq. units. 

-1t 700 
.. Percentage decrease = 16 x 100 = -% 
1t d2 16 
= 43.75%. 


						
one month ago
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