Question
A hemisphere of radius 10 cm is melted and recast into
the shape of a cone with a base diameter of 10 cm. Find the height of the cone.Solution
Volume of the hemisphere = (2/3)πr³ Volume of the cone = (1/3)πr²h Since the volume remains constant, (2/3)π(10)³ = (1/3)π(5)²h Simplifying: (2/3)π(1000) = (1/3)π(25)h (2000) = (25)h h = 2000 / 25 = 80 cm Correct Option: b
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at varianc...
Statements:
All Ray are Colour.
No Colour is Cloud.
Some Cloud are Rain.
Conclusions:
I. No Ray is Rain.
II. S...
Select the option that is related to third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
EX...
In the following question, three statements are given each followed by four conclusions I, II, III and IV. You have to consider the statements to be tru...
Statements:Â Â Â Â Â Â Â Â Â Â No cow is a bull.
No bull is a goat.
                               Some g...
Statements:
Some Rank is Scores.
All Scores is Subjects.
Only Subjects is Letter.
Conclusions:
I. Some Letter is not ...
Statements:
coins - mines.
cakes - mines.
hats - coins.
mines + ropes.
Conclusions:
I. ropes + hats
II....
In the question below some statements are given followed by three conclusions I, II and III. You have to take the given statements to be true even if t...
Statements:
Only a few spiders are insects.
All insects are ant.
Some ant are pesticides.
Only a few pesticides are bees.
Statement
Only a few Colour is Animals
Some Animals is Birds
All Birds is Fruit
Conclusion
I) Some Fruit is Anim...