Volume and Dimensions of Cylinders

Vincent explains a volume of solids word problem involving a pig named Hadley and a feeding tub. The problem requires calculating the volume of a rectangular feeding tub and cylindrical bottles to determine how many bottles are needed to fill the tub. Vincent guides through labeling dimensions, calculating volumes, and solving for the number of bottles, concluding that 22 bottles are needed.

What is the main issue Farmer Babel is facing with his pig Hadley?

• Hadley is sick.

• Hadley is not eating.

• Hadley is constipated.

• Hadley is lost.

What are the dimensions of the feeding tub?

• 5 by 3 by 2 feet

• 4 by 3 by 2 feet

• 5 by 4 by 2 feet

• 5 by 3 by 3 feet

What is the formula for the volume of a rectangular prism?

• Length x Width

• 2 x (Length + Width + Height)

• Length x Width x Height

• Length + Width + Height

What is the volume of the rectangular feeding tub?

• 20 cubic feet

• 25 cubic feet

• 30 cubic feet

• 35 cubic feet

What is the formula for the volume of a cylinder?

• 2 x PI x Radius x Height

• PI x Radius^2 x Height

• PI x Diameter x Height

• PI x Radius x Height

What is the radius of the cylindrical bottles?

• 2.0 feet

• 0.5 feet

• 1.0 feet

• 1.5 feet

What is the volume of each cylindrical bottle of prune juice?

• 0.45 cubic feet

• 0.45 PI cubic feet

• 0.5 PI cubic feet

• 0.5 cubic feet

How many bottles are needed to fill the tub completely?

• 20 bottles

• 21 bottles

• 22 bottles

• 23 bottles

Why does Babel need to round up the number of bottles?

• Because the bottles are smaller than expected.

• Because the tub is larger than expected.

• Because a fraction of a bottle cannot be used.

• Because bottles are sold in pairs.

What is the final number of bottles Babel needs to purchase?

• 23

• 22

• 20

• 21