Question

the base radii of cylinders are in the ratio 2:3 and their heights are in ratio 5:4. a)what is the ratio of their volumes b) the volume of the first cylinder is 720 cubic centimeters. what is the volume of the second??​

Answer 1

Answer:

3/4

Step-by-step explanation:

MATHS

The radii of two cylinders are in the ratio of 3:4, and their height are in the ratio 4:3. The ratio of their volume is :

December 30, 2019avatar

Rajnandini Kshetrapal

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ANSWER

Let radius of first cylinder =r

1

and height of the first cylinder =h

1

∴ Volume of first cylinder, V

1

=πr

1

2

h

1

Let radius of second cylinder =r

2

& height of second cylinder =h

2

∴ Volume of second cylinder, V

2

=πr

2

2

h

2

Also,

r

2

r

1

=

4

3

&

h

2

h

1

=

3

4

Now,

V

2

V

1

=

πr

2

2

h

2

πr

1

2

h

1

=(

r

2

r

1

)

2

×

h

2

h

1

=(

4

3

)

2

×

3

4

V

2

V

1

=

16

9

×

3

4

=

4

3

∴V

1

:V

2

=3:4