The ratio between the curved surface area and the total right circular cylinder is `1 : 2`. Find the volume of the cylinder if its total surface area is 616 `cm^(2)`
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Curved surface area of a right circular cylinder is `4. 4" "m^2` . If the radius of the base of the cylinder is 0.7 m, find its height.
Correct Answer - (i) 1m (ii) `1.54 m^(3)`
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The total surface area of solid cylinder is `231 cm^(2)` and its curved surface area is `(2)/(3)` of the total surface area. Find the volume of the cy
Correct Answer - `269.5 cm^(3)`
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Consider a particle of mass \( m \) having linear momentum \( P \) at position \( r \) relative to the origin \( O \). Which of the following equations correctly relates \( r , P , L \) ? a) \( \left[\left(\frac{d L}{d t}\right)+r x\left(\frac{d P}{d t}\right)\right]=0 \) b) \( \left[\left(\frac{d L}{d t}\right)-r x\left(\frac{d P}{d t}\right)\right]=0 \) c) \( \left[\left(\frac{d L}{d t}\right) \times\left(\frac{d r}{d t}\right) \times P\right]=0 \) d) \( \left[\left(\frac{d L}{d t}\right)-\left(\frac{d r}{d t}\right) \times P\right]=0 \)
Correct answer is (b) We know that \(\tau\) = r × F ∵ \(\tau\) \(= \frac{dL}{dt},\) \(F = \frac{dP}{dt}\) \(\left(\frac{dL}{dt}\right) = r \times \left(\frac{dP}{dt}\right)\) \(\left(\frac{dL}{dt}\right) - r \times \left(\frac{dP}{dt}\right) = 0\)
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The curved surface area of a right circular cone is 12320 cm^2. If the radius of its base is 56cm, then find its height.
CSA (cone) = πrl = 12320 \(\frac{22}{7}\) × 56 × l = 12320 l = 70 cm h = \(\sqrt{70^2-56^2}\) = 42 cm
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A rectangular piece of length 12 cm and breadth 4 cm is folded to form a cylinder. Find its curved surface area.
Correct option is (C) 48 cm2 \(\therefore\) Curved surface area of formed cylinder = Area of rectangular sheet = 12 \(\times\) 4 \(=48\,cm^2\)
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A rectangular piece of length 12 cm and breadth 4 cm is folded to form a cylinder. Find its curved surface area.
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Find curved surface area of a cylinder having r = x cm and h = y cm.
Correct option is (D) 2πxy Curved surface area of cylinder \(=2\pi rh\) \(=2\pi xy\,cm^2\) \((\because\) r = x cm & h = y cm)
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Find curved surface area of a cylinder having r = x cm and h = y cm.
2 Answers
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If the radius and height of a cylinder is x cm and y cm respectively, then the curved surface area of cylinder.
Correct option is (B) 2π xy cm2 r = x cm & h = y cm \(\therefore\) Curved surface area of cylinder \(=2\pi rh\) = \(2\pi\,xy\,cm^2\)
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