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cylinder a has a radius of 1 m and a height of 3 m. cylinder b has a radius of 3m and height of 3m. what is the ratio of the volume of cylinder a to the volume of cylinder b?

1:1
1:3
1:9
3:1

Respuesta :

Write the ratio of their volumes: [tex]\frac{V of cylinder a}{V of cylinder b} = \frac{pi1^{2} (3)}{pi3^{2} (3) } = \frac{1}{9} [/tex]
So the ratio will be 1:9.

The ratio of the volume of the cylinder a to the volume of cylinder b would be equal to 0.11.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

Right circular cylinder is the cylinder in which the line joining center of top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

Cylinder a has a radius of 1 m and a height of 3 m. Cylinder b has a radius of 3m and a height of 3m.

The volume of a cylinder  [tex]V = \pi r^2 h \: \rm unit^3[/tex]

The volume of a cylinder a

[tex]V = 3.14 \times 1^2 \times 3 \: \rm unit^3\\= 9.42[/tex]

The volume of a cylinder b

[tex]V = 3.14 \times 3^2 \times 3 \: \rm unit^3\\= 84.78[/tex]

The ratio of the volume of the cylinder a to the volume of cylinder b would be equal to 0.11.

Learn more about the volume of the cylinder here:

https://brainly.com/question/12763699

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