Q. 41. T.S.A of a cone = 
Q. 42. Volume of sphere = 
Q. 43. Surface area of a sphere = 4
Q. 44. Volume of a hemi sphere = 
Q. 45. C.S.A of a hemisphere = 2
Q. 46. T.S.A of a hemisphere = 3
Q. 47. Volume of a frustum = 
Q. 48. C.S.A of a frustum =
where l = 
Q. 49. T.S.A of a frustum =
+
+ n 
Q. 50. Surface area of a bucket =
+
where
is the radius of the base (open at the top)
STATISTICS :
Q. 51. Mean (
(direct method )
Q. 52. Mean (
x c (step derivation method)
Q. 53. Median = 
Q. 54. Mode = where ;
where ![]()
; ![]()
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Q. 55. Less than cum frequency -(upper limit, c.f)
More than cum .frequency -(lower limit , c.f)
Q. 56. Probability : P(E) = 
Q. 57. Cards.

King, queen, jack are face cards.
Q. 58. 3 coins
H H H
T H H
H T H
H H T
T T T
H T T
T H T
T T H
Q. 59. 2 coins (H,H) (H,T) (T,H) (T,T)