Arrange the areas for following shapes in descending order of their values: A.…
2025
Arrange the areas for following shapes in descending order of their values:
A. The area of the curved surface of a cylindrical wire of radius 1.0 mm and length 3.5 cm
B. The surface of a spherical ball of radius 3.5 mm
C. The area of a rhombus having diagonals 1.5 cm and 1.8 cm
D. The area of a circle of diameter 7.0 mm
- A.
D, B, C, A
- B.
A, B, C, D
- C.
B, A, C, D
- D.
C, A, B, D
Attempted by 4 students.
Show answer & explanation
Correct answer: B
First, convert all measurements to millimeters for consistency. Shape A (Cylinder): Radius = 1 mm, Length = 35 mm. Curved Surface Area = 2πrh ≈ 2 × 3.14 × 1 × 35 ≈ 220 mm². Shape B (Sphere): Radius = 3.5 mm. Surface Area = 4πr² ≈ 4 × 3.14 × (3.5)² ≈ 154 mm². Shape C (Rhombus): Diagonals = 15 mm and 18 mm. Area = ½ × d₁ × d₂ = 0.5 × 15 × 18 = 135 mm². Shape D (Circle): Diameter = 7 mm, Radius = 3.5 mm. Area = πr² ≈ 3.14 × (3.5)² ≈ 38 mm². Comparing the values: 220 > 154 > 135 > 38. The descending order is A, B, C, D.