Question

CAN SOMEONE PLEQSE HELP ME? WORTH 50 POINTS !! SCREENSHOT TO SEE BETTER

Answer 1

Answer:

1. 157 in³

2. 12 in

3. volume of the rice container is 1.5 times the volume of the sugar container

4. 50.24 in³

5. Rice container has the greatest volume

Flour container has the smallest volume

Step-by-step explanation:

By inspection of the diagram, the three containers are all cylinders.

Volume of a cylinder = $\pi r^2h$

(where r is the radius and h is the height)

Given $\pi$ = 3.14

1. volume of sugar container = 3.14 x 2.5² x 8 = 157 in³

2. 235.5 = 3.14 x 2.5² x h

⇒ 235.5 = 19.625h

⇒ h = 235.5 ÷ 19.625 = 12 in

3. height of sugar container = 8 in

   height of rice container = 12 in

  12 ÷ 8 = 1.5

⇒ height of rice container is 1.5 times the height of the sugar container

volume of sugar container = 157 in³

volume of rice container = 235.5 in³

235.5 ÷ 157 = 1.5

⇒ volume of the rice container is 1.5 times the volume of the sugar container

4. volume of flour container = 12.56 x 4 = 50.24 in³

5.  volume of sugar container = 157 in³

    volume of rice container = 235.5 in³

    volume of flour container = 50.24 in³

Rice container has the greatest volume

Flour container has the smallest volume