Let cylinder A have radius r and height h; cylinder B has radius 2r and height h/2. Curved surface area ratio is 2πrh : 2π(2r)(h/2) = 1 : 1. Volume ratio is πr²h : π(2r)²(h/2) = 1 : 2. CBSE Class ...
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The surface area condition requires lw + wh + hl = 50 for integers l ≥ w ≥ h ≥ 1. Systematic testing gives exactly two integer solutions: dimensions 8 cm × 3 cm × 2 cm and 12 cm ...
For a 5 cm cube sliced into unit cubes: 8 corner cubes have three faces painted, 12 × 3 = 36 edge cubes have two, 6 × 9 = 54 face-center cubes have one and 3³ = 27 interior cubes ...
Let the dimensions be l, w, and h. The product of the three adjacent face areas equals (lwh)², which is 6 × 15 × 10 = 900. Taking the square root gives a volume of 30 cm³. Ganita Manjari part 2 ...
It will not work directly as described because pairs are generated out of order. The algorithm relies on an ascending list to pick the rightmost element as the GCD, requiring sorting first. Class 9 Ganita Manjari Part 2 chapter 11 question ...