Math, asked by deepeshkumar8tha, 5 hours ago

The radius of cone is increased by 25% and height is decreased by 20%, then percentage change in volume is (a) 20% (b) 12.5% (c) 37.5 % (d) None of above




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Answers

Answered by Nandinijain414
0

Answer:

20 percent

Step-by-step explanation:

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Answered by llAngelicBaell
2

None of these ☑️

Original volume of a cone = [\piπ r²h]÷3

Given that,

Radius is increased by 25%

Height is decreased by 20%

New Volume = \piπ ×[r25/100)×r}]²×[h-(20/100)×h

= \piπ ×(5r/4)²×(4h/5)

= \piπ ×(25r²/16)×(4h/5)

= \piπ ×5r²/4×h

= [5\piπ r²h]÷4

Change in Volume = [(5\piπ r²h)÷4] - [(\piπ r²h)÷3]

= [15\piπ r²h - 4\piπ r²h]÷12

= [11\piπ r²h]÷12

Percentage change = [(11\piπ r²h/12)÷(\piπ r²h/3)]×100

= 275% INCREASE

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