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
Choose the correct answer from the options given below:निम्नलिखित आकृतियों के क्षेत्रफलों को उनके मानों के अवरोही क्रम में व्यवस्थित कीजिए:
A. त्रिज्या 1.0 mm और लंबाई 3.5 cm के एक बेलनाकार तार के वक्र पृष्ठ का क्षेत्रफल
B. त्रिज्या 3.5 mm की एक गोलाकार गेंद का पृष्ठ
C. 1.5 cm और 1.8 cm विकर्णों वाले एक समचतुर्भुज का क्षेत्रफल
D. 7.0 mm व्यास के एक वृत्त का क्षेत्रफल
नीचे दिए गए विकल्पों में से सही उत्तर चुनिए:
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Correct answer: B. A, B, C, D
Explanation
Work in mm (π = 22/7). A: curved surface = 2πrh = 2 × 22/7 × 1 × 35 = 220 mm². B: sphere surface = 4πr² = 4 × 22/7 × 3.5² = 154 mm². C: rhombus = ½ × d₁ × d₂ = ½ × 15 × 18 = 135 mm². D: circle = πr² = 22/7 × 3.5² = 38.5 mm². Descending order is 220 > 154 > 135 > 38.5, i.e. A, B, C, D.सभी माप mm में लें (π = 22/7)। A: वक्र पृष्ठ = 2πrh = 2 × 22/7 × 1 × 35 = 220 mm²। B: गोले का पृष्ठ = 4πr² = 4 × 22/7 × 3.5² = 154 mm²। C: समचतुर्भुज = ½ × d₁ × d₂ = ½ × 15 × 18 = 135 mm²। D: वृत्त = πr² = 22/7 × 3.5² = 38.5 mm²। अवरोही क्रम 220 > 154 > 135 > 38.5, अर्थात् A, B, C, D।More Mathematical Reasoning and Aptitude questions
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