Question

Match the correct statement with the given information.

Column A

1.

A cone’s radius increases x 3:

A cone’s radius increases x 3

2.

A cone’s height increases x 3:

A cone’s height increases x 3

3.

A sphere’s radius increases x 3:

A sphere’s radius increases x 3

4.

A cylinder’s radius increases x 6:

A cylinder’s radius increases x 6

Column B

a.The cone’s volume will increase x 9

b.The cone’s volume will increase x 3

c.The cylinder’s volume will increase x 6

d.The sphere’s volume will increase x 6

e.The cylinder’s volume will increase x 12

f.The cone’s volume will increase x 6

g.The sphere’s volume will increase x 3

h.The cylinder’s volume will increase x 18

i.The cylinders volume will increase x 36

j.The sphere’s volume will increase x 9

k.The sphere’s volume will increase x 27

1. The correct statements regarding the transformations to the volumes are given as follows:
1. A cone’s radius increases x 3: -> The cone’s volume will increase x 9.
2. A cone’s height increases x 3: -> The cone’s volume will increase x 3
3. A sphere’s radius increases x 3 -> The sphere’s volume will increase x 27.
4. A cylinder’s radius increases x 6 -> The cylinders volume will increase x 36.

### What are the volumes?

The equations that give the volumes of each solid are given as follows:
• Cone: V = πr²h/3.
• Sphere: V = 4πr³/3.
• Cylinder: V = πr²h.
Then the increases are given as follows:
• Radius: Volume is multiplied by the scale factor squared in the case of cone/cylinder, and scale factor cubed in the case of the sphere.
• Height: Volume is multiplied by the scale factor.
More can be learned about the volume of an sphere at https://brainly.com/question/10171109
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