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According to the question, CSA/TSA = 2/5 ⇒ [2πRh]/[2πR(R + h)] = 2/5 ⇒ h/(R + h) = 2/5 ⇒ 5h = 2R + 2h ⇒ h = (2/3)R .......(1) The volume of a cylinder and the volume of a solid hemisphere are equal. ⇒ πR2h = (2/3)πr3 ⇒ R2 × (2/3)R = (2/3) × (21)3 ⇒ R3 = (21)3 ⇒ R = 21 सेमी ∴ The radius of its base (in cm) is 21 cm.
Match the following machines with their working principles:
(i) Electric motor - (a) Heat energy into mechanical energy
(ii) Steam engin...
The stress–strain graph for two wires A and B is shown. Wire A has a steeper linear region than B. This indicates that:
The distance between the focus and the centre of curvature of a spherical mirror in terms of the radius of curvature R, is equal to:
‘Lubb-dupp’ sound is produced due to the action of
The point where the total mass of a body is considered to be concentrated is known as what?
Which of the following is an alpha particle which is emitted in radioactivity?
If the specific heat at constant pressure Cₚ is greater than Cᵥ , the difference Cₚ -Cᵥ is equal to:
A displacement-time graph is curved and concave downward from t = 0 to t = 2 s. Which statement is true?
Which gate gives a high output only when both inputs are low?
What type of rays are used in a CT scan to visualize the internal structures of the human body?
