Question

the radius of the base and the height of a cylinder are each increased by 10 % , then by what percent does the volume of the cylinder increase??​

Answer 1

Step-by-step explanation:

Let the radius of the base is r and height is h of a right circular cylinder.

Then the volume =πr

2

h

If the radius of the base is increased 10 % new base radius=r×

100

110

=

10

11r

If height is increased 10% new height=h×

100

110

=

10

11h

So new volume =π(

10

11r

)

2

(

10

11h

)=

1000

1331

×πr

2

h=0.331πr

2

h

Then increased in volume=1.331πr

2

h+πr

2

h=0.331πr

2

h

So % of increased in volume=

πr

2

h

0.331πr

2

h

×100=33.10 %

Answer 2

Step-by-step explanation:

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