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Byju's Answer
Standard IX
Mathematics
Volume of Sphere and Hemisphere
The ratio of ...
Question
The ratio of volume and total surface area of a solid sphere is 8 : 1, then value of radius =
cm.
A
2
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B
24
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C
64
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Solution
The correct option is
B
24
Volume of a sphere =
4
3
π
r
3
Total surface area of a sphere =
4
π
r
2
⇒
V
o
l
u
m
e
S
u
r
f
a
c
e
a
r
e
a
=
4
3
π
r
3
4
π
r
2
=
8
1
⇒
r
3
=
8
⇒
r
=
24
c
m
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Q.
From a solid cylinder whose height is 8 cm and radius 6 cm, a conical cavity of height 8 cm and base radius 6 cm is hollowed out. Find the volume of the remaining solid. Also, find the total surface area of the remaining solid.