Question

into a circular drum of radius 4.2 m and height 3.5 m, how many full bags of wheat can be emptied if the space required for wheat in each bag is 2.1 m³.

Answer 1

To determine the number of bags of wheat that can be emptied into the drum, calculate the drum's volume using the formula πr²h. Then, divide this volume by the volume required for each bag, 2.1 m³. The result is the number of full bags that can be stored.

Step-by-step explanation:

To find out how many full bags of wheat can be emptied into a circular drum of radius 4.2 m and height 3.5 m, we need to calculate the volume of the drum and then divide it by the volume required for each bag of wheat.

The formula for the volume of a cylinder (V) is V = πr²h where r is the radius and h is the height. In this case:

• Radius (r) = 4.2 m
• Height (h) = 3.5 m

The volume of the drum would be:

V = π × (4.2 m)² × 3.5 m

Now, we can calculate the number of bags:

Number of bags = Volume of the drum / Volume of wheat per bag

Each bag requires 2.1 m³ of space, so:

Number of bags = V / 2.1 m³

After calculating V and dividing by 2.1 m³, we find the number of full bags that will fit into the drum.