Latest TCS Aptitude Question SOLUTION: A vessel is in the form of a hollow cylinder mounted on a hollow hemisphere. The diameter of the hemisphere is 14 cms, and the total height vessel is 3 cms. Find the outer surface

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A vessel is in the form of a hollow cylinder mounted on a hollow hemisphere. The diameter of the hemisphere is 14 cms, and the total height vessel is 3 cms. Find the outer surface area of the vessel

Solution

this question is asked in TCS

height is 30 not 3..
This is the suggestion by SHRI KANT and is a good suggestion
on this basis
height of the cylindrical part = 30-14 = 16cm
so surface area of cylinder = 2*(pi)*(14)*(16)
and surface area of hemisphere = 2*(pi)*(14)^2
add and get the answer

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Asked In TCS Somil Nain (13 years ago)

Solved Read Solution (8)

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Read Solution (8) :

Priyanka  (12 years ago)

The conditions you state appear to be impossible. If the diameter of the hemisphere is 14cm, then its radius is 7cm and the total height must be greater than 3cm.

Either you've dropped a decimal point and the hemisphere's diameter is 1.4cm, or the height of 3cm is the height of the cylindrical portion rather than the total height. (Or there's some other error, less obvious than those two possibilities.)

At any rate, if you straighten out the measurements, the outer surface area shouldn't be too hard to figure out. The hemisphere's radius is half the diameter, and the area of the hemispherical portion is half that of a complete sphere with that radius, so it's
(4/3) π r^2 / 2 = (2/3) π r^2
where r is the radius.

The area of the cylindrical portion is just the circumference of the cylinder times its height, because the cylinder could be "unrolled" to form a rectangle. The circumference of the cylinder is
2π r
where r is the same radius as for the hemisphere, so the total outer surface area of the vessel is
(2/3) π r^2 + 2π rh
where h is the cylinder height.

This can be simplified by factoring out 2π r to get
2π r (r/3 + h)

Just figure out the correct values for r and h, plug them into this, and you've got it.

Is this solution Helpfull? Yes (3) | No (2)  

saurabh kumar singh  (13 years ago)

given height=3cm,let height of the cylinder =h then
h+r=3 or h=3-r
S.A.=2*(22/7)*r*(3-r)+2*(22/7)*r*r
substiute r=7

Is this solution Helpfull? Yes (2) | No (4)  

Hemanth Kumar M  (13 years ago)

use 2*pi*r*h formula..
ans=42

Is this solution Helpfull? Yes | No (1)  

kaykash  (12 years ago)

plz explain clearly

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Ruchi  (12 years ago)

please explain it

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SHRI KANT  (12 years ago)

this question is asked in TCS

height is 30 not 3..
now solve this

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gaurav pathak  (12 years ago)

area of vesssal 4
*pi*r^2/2+4pi*r^2*h ....z answer

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Menda.haseena  (5 years ago)

as height of cylinder is 16cm
so surface area of cylinder is 2*pi*14*16=1408cm

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