This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Determine the diameter of the cylindrical concrete pillar (Question 3.1). The dimensions for the cylindrical pillar are given: Radius = 22 cm. The formula for diameter (D) is D = 2 × radius. D = 2 × 22 cm D = 44 cm Comparing this to the options, option B is 44 cm. Note that there are two options labeled A, one of which is 44 mm. Since the radius is in cm, the diameter will also be in cm. The correct option is B. Step 2: Calculate the area of the top circle of the cylindrical concrete pillar (Question 3.2). The formula for the area of a circle is given as Area = × (radius)^2, where = 3.142. From the cylindrical dimensions, the radius is 22 cm. Area = 3.142 × (22 cm)^2 Area = 3.142 × 484 cm^2 Area = 1520.728 cm^2 Comparing this to the options: A. 1\,520.728 cm^2 B. 6\,082.912 cm^2 C. 6\,082.912 mm^2 The correct option is A. Step 3: Determine the perimeter of the base (bottom) of the rectangular concrete pillar (Question 3.3). The dimensions for the rectangular pillar are given: Length = 40 cm Breadth = 40 cm Since the length and breadth are equal, the base is a square. The formula for the perimeter of a square is P = 4 × S, where S is the side length. Alternatively, the formula for the perimeter of a rectangle is P = 2(length + breadth). Using the rectangle formula: P = 2 × (40 cm + 40 cm) P = 2 × (80 cm) P = 160 cm Using the square formula: P = 4 × 40 cm P = 160 cm The only option provided is A. 60 cm, which is incorrect based on our calculation. There might be an error in the provided options or the question expects a different interpretation. However, based on the given dimensions and formulas, the perimeter is 160 cm. Since I must select from the given options, and 160 cm is not an option, I will state that the calculated answer is not among the options. Final Answers: 3.1. The correct option is B. 3.2. The correct option is A. 3.3. The calculated perimeter is 160 cm. This value is not among the given options. Got more? Send 'em.