Answer:
The answer is the first
Amie should have multiplied 54 by 2/3
Step-by-step explanation:
* Lets start with the rule of the volume of each solid
∵ Volume the sphere = 4/3 π r³
∵ Volume the cylinder = π r² h
∵ The radii and the heights of the sphere and the cylinder are equal
∴ The ratio between there volumes are
4/3 π r³ : π r² h
- Lets divide each part by π r²
∴ 4/3 r : h
∵ The height of the sphere = the diameter of it = 2r
∴ The height of the cylinder = 2r
∴ The ratio will be:
4/3 r : 2r
- Now divide each part by 2r
∵ (4/3)r ÷ 2r = 2/3
∵ 2r ÷ 2r = 1
∴ The ratio is 2/3 : 1
∴ The volume of the sphere = 2/3 the volume of the cylinder
∵ The volume of the cylinder = 54 m³
∴ The volume of the sphere = 2/3 × 54 = 36 m³
∴ The answer is Amie should have multiplied 54 by 2/3
