Math, asked by devipesala652, 1 year ago

If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume
A) 33.5%
B) 33.1%
C) 32.1%
D) 53.1%

Answers

Answered by Anonymous
2
If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume

A) 33.5%
B) 33.1%
C) 32.1%
D) 53.1%

Answer:   B) 33.1% 

SOLUTION

v1= 13πr12h1

 

v2=13πr22h2

 

% Increase in volume = (V2-V1) / (V2*100)
.
.
THANKS ☺️


Answered by mansipatel5
2
⭐⭐ heya mate ⭐⭐

here is the answer
➖➖➖➖➖➖➖➖➖➖➖➖➖⬇

Volume of cone = πr²h/3
New radius = 11r/10
new height = 11h/10
So new V = π(11r/10)²)(11h/10)(1/3)
              =π(121r/100)(11h/10)(1/3)
                 =  π 1331rh/3000
Percentage increase = (New volume/Oldvolume     * 100) -100
                                  = (π/3 * 3/π *1331/1000 * rh/rh   * 100) -100
                                   = (1331/1000   * 100) -100
                                = 133.1 -100
                                  = 33.1%

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