Understanding Spheres and Similar Solids

What is the formula for the surface area of a sphere?

• πr²

• 4/3πr³

• 2πr²

• 4πr²

If the diameter of a sphere is 22, what is its radius?

• 11

• 44

• 22

• 33

How do you find the radius of a sphere if the volume is given as 36π?

• Divide the volume by 4/3π and take the cube root

• Divide the volume by 4π and take the square root

• Multiply the volume by 4/3π and take the square root

• Multiply the volume by 4π and take the cube root

What is the scale factor if the surface area ratio is 4:1?

• 8:1

• 2:1

• 4:1

• 16:1

How do you calculate the volume ratio from a given scale factor?

• Cube the scale factor

• Divide the scale factor by 2

• Square the scale factor

• Multiply the scale factor by 2

If the scale factor between two similar solids is 2:5, what is the surface area ratio?

• 4:25

• 2:5

• 16:125

• 8:125

What is the volume of a larger cylinder if the scale factor is 2:5 and the smaller cylinder's volume is 128π?

• 500π

• 600π

• 1000π

• 800π

In a real-world problem, if a bottle is 10 inches high and holds 34 oz, what is the scale factor for a similar bottle that is 48 inches high?

• 34:48

• 10:48

• 1:48

• 1:4.8

How do you find the volume of a larger object using the volume ratio?

• Divide the smaller volume by the volume ratio

• Multiply the smaller volume by the volume ratio

• Add the volume ratio to the smaller volume

• Subtract the volume ratio from the smaller volume

What is the volume ratio if the scale factor is 1:48?

• 1:110592

• 1:234

• 1:48

• 1:2304