The curved surface area of a right circular cone is 12320 cm2. If the radius of its base is 56cm, then find its height.
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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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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
Correct Answer - `1078 cm^(3)`
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A spherical cannonball 28 cm in diameter is melted and cast into a right circular cone mould, whose base is 35 cm in diameter. Find the height of the
Correct Answer - 35.84 cm
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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 radius of the base and height of a cone are 5 cm and 12 cm then its slant height
Correct option is (C) 13 cm Slant height of cone is \(l=\sqrt{r^2+h^2}\) \(=\sqrt{5^2+12^2}=\sqrt{25+144}\) \(=\sqrt{169}\) = 13 cm
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The radius of the base and height of a cone are 5 cm and 12 cm then its slant height
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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The height of a cone is 12 cm. and its radius is 5 cm. then the slant height of cone is in cm.
Correct option is (A) 13 h = 12 cm, r = 5 cm \(l=\sqrt{r^2+h^2}=\sqrt{5^2+12^2}\) \(=\sqrt{25+144}=\sqrt{169}\) = 13 cm
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A Joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.
We have, Based radius of conical cap = r = 7cm Vertical height = h = 24 cm ∴slant height = l = \(\sqrt{r^2+h^2}\) = \(\sqrt{49+576}\) = 25 cm Required area of sheet, = 10 × πrl...
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