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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?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
6 months ago
. 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%.

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