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RRB Junior Engineer Stage 1 Model Papers 4
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© examsnet.com
Question : 13
Total: 99
A solid sphere of diameter 17.5 cm is cut into two equal. halves. What will be the increase (in
c
m
2
) in the total surface area?
289
361.5
481.25
962.5
Validate
Solution:
Here,
Radius of sphere
=
17.5
2
c
m
=
8.75
c
m
∴ Total surface Area of sphere
=
4
π
r
2
=
4
×
22
7
×
8.75
×
8.75
=
962.5
c
m
2
After cut in two equal halves
∴ Total surface of both hemisphere
=
2
×
3
π
r
2
⇒
2
×
3
×
22
7
×
8.75
×
8.75
⇒
1443.75
c
m
2
∴ Required increased area
=
(
1443.75
–
962.5
)
=
481.25
c
m
2
© examsnet.com
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