(1 - 2) = -1
(3 - 4) = -1
(5 - 6) = -1
and so on.
? Total terms of -1 will be 50.
? Answer = -1 x 50 = -50
Series Pattern
+6, +9, +12, +15....
? Missing term = 6 + 6 = 12
Given series is a consecutive prime number series. Therefore, the next term will be 23.
If 10 circular plates each of thickness 3 cm, each are placed one above the other, then it forms a cylinder with height (3 x 10 = 30 cm) and a hemisphere of radius 6 cm is placed on the top just to cover the cylinder that means its radius is 6 cm also
? Radius of hemisphere (R) = 6 cm
Radius of cylinder (r) = 6 cm
and height of cylinder (h) = 30 cm
? Volume of the solid = Volume of cylinder + Volume of hemisphere
= ?r2h + (2/3)?R3
= ?(6)2 x 30 + (2/3)?(6)3
= ? x 36 x 30 + (2/3)? x 216
= 1080? + 2? x 72 = 1080? + 144?
= 1224? cm3
Which is the required volume of solid.
Curved surface area of cylinder = 2?rh cm2
Total surface area of cylinder = 2?r(h + r) cm2
Now, According to the question
2?rh/2?r(h + r) = 1/2
? h/(h + r) = 1/2
? 2h = h + r
? Now, Total surface area = 616 cm2
? 2? (h + r) = 616
? 2?r (r + r) = 616 (? h = r)
? 2?r(2r) = 616
? 4?r2 = 616
? r = ?style="text-decoration:overline">616/4?
= ?616 x 7/4 x 22
= ?7 x 7 =
? r = h = 7 cm
? Volume = ? r2 h
= (22/7) x (7 x 7) x 7 = 1078 cm3
External radius = 2.5 cm,
length = 100 cm
? External volume = [? x (2.25)2 x 100] cm2
internal radius = 1.5 cm
? internal volume = [? x (1.5)2 x 100]cm3
Volume of metal
= [? x (2.5)2 x 100 - ? x (1.5)2 x 100] cm3
= ? x 100 x [(2.5)2 - (1.5)2] cm3
= (22/7 x 100 x 4 x 1 x 21/1000) kg
= 26.4 kg.
A = (a + b)/2,
1/H = (1/a + 1/b)/2
? H = 2ab/(a +b),
G = ?ab
? A x H = {(a + b)/2} x {2ab/(a + b)} = ab = G2
? A x H = G2
Series pattern
Every next element = 3 x previous element
? Missing term = 3 x 36 = 108
Series pattern
12, 32, 52, 72, 92, 112
? Missing term = 12 = 1
Series pattern
+3, +6, +9, +12, +15, +18
? Missing term = 57 + 18 = 75
Series pattern
(2 x Previous element) - 1
? Missing term = (2 x 65) - 1 = 130 - 1 = 129
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