Latest TCS Aptitude Question SOLUTION: A chef cuts a watermelon along its horizontal diameter once and then along its vertical diameter twice at right angle to each other. A slice is removed (other pieces remains intact

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A chef cuts a watermelon along its horizontal diameter once and then along its vertical diameter twice at right angle to each other. A slice is removed (other pieces remains intact). What will be the total surface area of the remaining portion?

Asked In TCS payel (9 years ago)

Solved abhinav Read Solution (7)

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abhinav  (9 years ago) Best Solution

surface area of sphare is (4*pi*r^2)
if 1/4th parth is removed (4*pi*r^2)-(pi*r^2)= 3*pi*r^2
and the cut surface is (1/2*pi*4^2)*2
so total surface area is 4*pi*r^2 ans.

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deepansh  (9 years ago)

surface area of a sphere is =4*pi*r^2
when it is cut horizontally =2
when it is cut once vertically=4
when again cut perpendicular to initial vertical cut= 8 pieces(4 from upper hemisphere+4 from lower hemisphere)
now one slice is removed.so remaining outer surface area=7/8(4*pi*r^2)
now in the depth of removed slice portion,3 quadrants of radius r is produced due removed slice. of area 1/4*pi*r^2 each
so total surface area=( 7/2*pi*r^2+3*1/4*pi*r^2)= 17/4*pi*r^2

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tirupathi reddy  (9 years ago)

It is 7/6pi r ^3
When 1/8th portion is removed from the watermelon

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Amarjyoti Deka  (9 years ago)

ans. (17/4)*pi*r^2

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venkata sai  (9 years ago)

Curved surface area is 1/8 of the total surface area of the melon
i.e 1/8*pi*r^2
And flat surface is equal to 1/2*r^2*pi/2 but dere r 3 symmetrical ones
i.e 3/4*pi*r^2
Therefor total surface area equals to pi*r^2*5/4

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ANKITA KUMARI  (9 years ago)

surface area of a sphere is 4*pi*r^2.
when it is cut horizontally =two pieces
when it is cut once vertically=4pieces
when again cut perpendicular to initial vertical cut= 8 pieces(4 from upper hemisphere+4 from lower hemisphere).
now one slice is removed.so remaining outer surface area=1/2*pi*r^2.
now in the depth of removed slice portion,3 quadrants of radius r is produced due removed slice. of area 1/4*pi*r^2 each
so total surface area=( 1/2*pi*r^2+3*1/4*pi*r^2)= 5/4*pi*r^2

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surbhi dubey  (9 years ago)

its 7/8th part of 4*pi*r^2 and 3/4th part of pi*r^2

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