Question

The water is transported in cylindrical buckets (with lids) with a maximum ca of water in Makeleketla. The cylindrical buckets, containing water, with lids are shown below. Picture of a bucket (20 t capacity) with lid Top view of buckets placed on a rectangular pallet Outside diameter of bucket -31,2 cm NOTE: Bucket walls are 2 mm thick. width=100 cm 312 mm length=120 cm с [Source: www.me Use the information and picture above to answer the questions that follow. What is the relationship between radius and diameter in the context abov Define the radius of a circle. 3.1 3.2 3.3 Determine the maximum height (in cm) of the water in the bucket if diameter of the bucket is 31,2 cm. You may use the formula: Volume of a cylinder = rx (radius) x height where r = 3,142 and 1 = 1 000 cm³ 3.4 Buckets are placed on the pallet, as shown in the diagram above. (a) Calculate the unused area (in cm) of the rectangular floor of the solid You may use the formula: Area of a circle =(radius), where = (b) Determine length C, as shown in the diagram above. The organiser would have preferred each pallet to have 12 buckets arranged in three rows of four each, as shown in the diagram alongside. Calculate the percentage by which the length of the pallet should be dan new AFTARGAT​

Answer 1

Answer: The relationship between radius and diameter in the context above is that the diameter of the bucket is twice the radius. In other words, the radius is half of the diameter.

The radius of a circle is the distance from the center of the circle to any point on its circumference. It is represented by the letter 'r' in formulas and calculations.

To determine the maximum height of the water in the bucket, we need to find the radius first. Since the diameter of the bucket is given as 31.2 cm, we can calculate the radius as follows:

• Radius = Diameter / 2
• Radius = 31.2 cm / 2
• Radius = 15.6 cm

Using the formula for the volume of a cylinder, we can calculate the maximum height (h) of the water:

• Volume = π x (radius)^2 x height
• 20,000 cm³ = 3.142 x (15.6 cm)^2 x height

Solving for height:

• height = 20,000 cm³ / (3.142 x (15.6 cm)^2)
• height ≈ 20,000 cm³ / (3.142 x 243.36 cm²)
• height ≈ 20,000 cm³ / 765.44 cm²
• height ≈ 26.1 cm

Therefore, the maximum height of the water in the bucket is approximately 26.1 cm.

3.4. (a) To calculate the unused area of the rectangular floor, we need to subtract the total area covered by the buckets from the total area of the rectangle. Since the buckets are cylindrical, the area they cover is the sum of the areas of their circular tops.

Area of a circle = π x (radius)^2

• Area covered by one bucket = π x (15.6 cm)^2
• Area covered by one bucket ≈ 764.32 cm²

Total area covered by 20 buckets (assuming 20 buckets fit on the pallet) = 20 x 764.32 cm²

Total area covered by 20 buckets ≈ 15,286.4 cm²

• Total area of the rectangular floor = length x width
• Total area of the rectangular floor = 120 cm x 100 cm
• Total area of the rectangular floor = 12,000 cm²

Unused area = Total area of the rectangular floor - Total area covered by 20 buckets

• Unused area = 12,000 cm² - 15,286.4 cm²
• Unused area ≈ -3,286.4 cm²

Since the unused area is negative, it suggests that the buckets do not fit on the pallet as shown in the diagram. There seems to be an overlap or discrepancy in the given information.

(b) Without a diagram provided, it is not possible to determine length C as mentioned in the question. Please provide a diagram or further information for an accurate calculation.

Unfortunately, I cannot calculate the percentage by which the length of the pallet should be changed without the required information or diagram.