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  1. If the radius of a right circular cylinder is decreased by 50% and its height is increased by 60%, its volume will be decreased by
    1. 10%
    2. 60%
    3. 40%
    4. 20%
Correct Option: B

Let the radius of a right circular cylinder is changed by x% and height is changed y%, then Volume change by

2x + y +
x² + 2xy
+
x²y
%
100100²

∴ Effective change = - 2 × 50 + 60 +
2500 - 6000
+
150000
%
10010000

= (–100 + 60 – 35 + 15)
= (75 – 135) = – 60%
Negative sign shows decrease.



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