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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.
If secθ + tanθ = 3+√10, then the value of sinθ+cosθ is
If sec(2A + B) = 2 and cos(A + B) = (1/√2) , find the value of {sec 2B + tan (A + B) } given that 0o < A, B < 90o
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevat...
If P, Q, R, S are the vertex of a cyclic quadrilateral. Find the value of
`1/sec p` +`1/sec q` +`1/sec r` +`1/sec s`
...From a point on the ground, the angle of elevation of the top of a building is 45°. After walking 10 meters towards the building, the angle of elevatio...
Find the simplified value of the following expression if a = 30o
[(sin2a + cos2a} ÷ seca × sina ÷ cosa]
...Calculate the value of sec75o
If sin (2x + 50) o = cos (2y - 50) o, such that, 0o < x + y < 90o, then find the value of tan(x + y) .
ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of ...
If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan30 θ + cot 29 θ.
