Question
A hollow sphere of external and internal diameters of 10
cm and 6 cm, respectively, is melted and made into another solid in the shape of a right circular cone of base diameter 10 cm. Find the height of the cone.Solution
The volume of the hollow sphere: = 4/3 π (53-33) =4/3 ×98 π = (392/3) π cm³ Volume of the cone: = π/3 (52) h = (25/3) πh cm³ 3 Equating volumes: 392/ 3 π = 25/3 πh h= 392/25 h=15.68 cm. The height of the cone is 15.68 cm.
Conclusions:
I. No Lid being Utensil is a possibility.
II. Some Spoons are not Plates.
III. Some Spoons are Cups.
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Statement:
Each girl is boy.
Only a few girls are men.
Few girls are not women.
Conclusion:
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All pineapple are peach.
All peach are cherry.
All cherry are papaya.
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No curtain is wall.
None of the walls is windows.
All windows are roofs.
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I. Mostly roofs bei...
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No chicken is a hen.
No hen is a pigeon.
Conclusions : I. Some eggs may be hens.
II....
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if ...
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All SBI is RBI.
Only a few RBI is UCO.
Only a few UCO is UGB.
No UGB is IDBI.
Conclusions :
I. ...
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No rectangle is a square.
Conclusions:I. No square is a rectangle.
II. Some rectangles are...
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All stories are novels.
All novels are articles.
Conclusions:
I. All articles are...
