There is a perfect sphere of diameter 40 cms. resting up
against a perfectly straight wall and a perfectly straight
floor i.e. the wall and the floor make a perfect right angle.
Can a perfect sphere of diameter 7 cms. pass through the
space between the big sphere, the wall and the floor?
Support your answer with valid arguments. Don't submit just
"Yes" or "No".
- 3 Answers
- 6060 Views
- I also Faced
- E-Mail Answers
Answers were Sorted based on User's Feedback
Answer / raj kiran
consider 2-d fig for simplicity.. i.e two lines at right
angles and a circle with its circumference touching the
lines(walls).. now the line joining the center of the circle
n the point of contact of the circle wit the walls forms a
square of side 40 cm..
now join the center of the circle n the meeting point of the
wall, this forms the diagonal of the square..
by right angle theorem, we get the diagonal as,
(40*1.414)=56.56..
so the remaining space left ( corner of the wall to the
circumference of th circle) is 16.6cm...
through which a 7cm ball can pass through..
| Is This Answer Correct ? | 2 Yes | 0 No |
Answer / munna
The answer is yes.
Consider a 2-D diagram,
given that the diameter of the sphere is 40 cms.
so radius = 20 cms.
c0nsider the points that touch the floor and the wall and
the center of the sphere and the intersection of the floor
and wall.This forms a square of length of side 20 cms.
so,
the distance left for any sphere of unknown diameter to
pass through be x.
x=sqrt(800)-20=8.284... cms.
so a sphere of radius 7 cms passes.
| Is This Answer Correct ? | 2 Yes | 0 No |
Answer / guest
Submit
Answer
Users
Answer (23)
BrainVista
Answer
Puzzle A
Friend
Add to
Favourite
For the sake of simplicity, consider two-dimension i.e view
sphere as a two dimensional circle with diameter 40 cms.
From Figure I, (40 cms diameter sphere)
OC2 = OD2 + CD2
OC2 = 202 + 202
OC = 28.28427 cms
Also, X is the closest point to origin O on the sphere.
CX = 20 cms (radius)
OX = OC - CX
OX = 28.28427 - 20
OX = 8.28427 cms
From Figure II, (7 cms diameter sphere)
OP2 = OQ2 + PQ2
OP2 = (3.5)2 + (3.5)2
OP = 4.94974 cms
Also, Y is the farthest point to origin O on the sphere.
PY = 3.5 cms (radius)
OY = OP + PY
OY = 4.94974 + 3.5
OY = 8.44974 cms
Now, as OY > OX i.e. smaller sphere requires more space than
the space available. Hence, smaller sphere of 7 cms diameter
can not pass through the space between the big sphere, the
wall and the floor.
The puzzle can be solved by another method.
Draw a line tangent to the big sphere at the point X such
that X is the closest point to the origin O on sphere. The
tanget will cut X and Y axes at A and B respectively such
that OA=OB. [See Fig III] From above, OX=8.28427 cms.
From the right angle triangle OAB, we can deduct that
OA = OB = 11.71572 cms
AB = 16.56854 cms
Now, the diameter of the inscribed circle of right angle
triangle is given by d = a + b - c where a <= b < c
The maximum possible diameter of the circle which can pass
through the space between the big sphere, the wall and the
floor is
= OA + OB - AB
= 11.71572 + 11.71572 - 16.56854
= 6.86291 cms
Hence, the sphere with 7 cms diameter can not pass through
the space between the big sphere, the wall and the floor.
Submit
Answer
Users
Answer (23)
BrainVista
Answer
Puzzle A
Friend
Add
| Is This Answer Correct ? | 1 Yes | 1 No |
A 3 digit number is such that it's unit digit is equal to the product of the other two digits which are prime. Also, the difference between it's reverse and itself is 396. What is the sum of the three digits?
Wo kay chej hi jo saal may 1 baar aata hai months may 2 baar aata hai weeks may 4 baar aata hai or din may 6 baar
0 Answers College School Exams Tests,
in 10 hrs,if the cistern is filled ,then how much time the outlet takes to empty the cistern
Imagine a triangle of coins on a table so that the first row has one coin in it and the second row has two coins in it and so on. If you can only move one coin at a time, how many moves does it take to make the triangle point the other way?
One of the following is my secret word: AIM DUE MOD OAT TIE. With the list in front of you, if I were to tell you any one of secret word, then you would be able to tell the number of my secret word. Which is my secret word?
8 Answers AIM Research, Contata, Exxon Mobil, IBM, TCS, Vernalis Systems,
If you added together the number of 2's in each of the following sets of numbers, which set would contain the most 2's: 1-333, 334-666, or 667-999?
Because cigars cannot be entirely smoked, a Bobo who collects cigar butts can make a cigar to smoke out of every 3 butts that he finds. Today, he has collected 27 cigar butts. How many cigars will he be able to smoke?
what will the Next no. 10,20,30,68,__
7 Answers Apalya Technologies, EXL, Genpact, Schneider,
Eleven boys and girls wait to take their seats in the same row in a movie theater. There are exactly 11 seats in the row. They decided that after the first person sits down, the next person has to sit next to the first. The third sits next to one of the first two and so on until all eleven are seated. In other words, no person can take a seat that separates him/her from at least one other person. How many different ways can this be accomplished? Note that the first person can choose any of the 11 seats.
Sam and Mala have a conversation. ? Sam says I am certainly not over 40 ? Mala says I am 38 and you are atleast 5 years older than me ? Now Sam says you are atleast 39 All the statements by the two are false. How old are they really?
Three members are hunting in a forest.While crossing a streem cartridges of two of them gets wetted up.Then the third person decides his cartidges equally. After 4 shots of each person, total cartridges remaining are equal to what each had initially after sharing.How many total cartridges they initially they shared?
If you were to dial any 7 digits on a telephone in random order, what is the probability that you will dial your own phone number? Assume that your telephone number is 7-digits.
English 
