The volume of a solid sphere is 4851 m
3
. What is the surface area of the sphere? (Take π=
7
22
)
- A1386 m
2 - B1364 m
2 - C1260 m
2 - D1408 m
2
Solution & Step-by-step Explanation
Let the radius of the solid sphere be r.
The volume of a sphere is given by:
Volume=
3
4
πr
3
Given that the volume is 4851 m
3
:
3
4
×
7
22
×r
3
=4851
21
88
×r
3
=4851
r
3
=
88
4851×21
Dividing 4851 and 88 by 11:
r
3
=
8
441×21
r
3
=
2
3
21
2
×21
=
2
3
21
3
r=
2
21
m
Now, the surface area of the sphere is given by:
Surface Area=4πr
2
Surface Area=4×
7
22
×(
2
21
)
2
Surface Area=4×
7
22
×
4
441
Surface Area=22×63=1386 m
2
The volume of a sphere is given by:
Volume=
3
4
πr
3
Given that the volume is 4851 m
3
:
3
4
×
7
22
×r
3
=4851
21
88
×r
3
=4851
r
3
=
88
4851×21
Dividing 4851 and 88 by 11:
r
3
=
8
441×21
r
3
=
2
3
21
2
×21
=
2
3
21
3
r=
2
21
m
Now, the surface area of the sphere is given by:
Surface Area=4πr
2
Surface Area=4×
7
22
×(
2
21
)
2
Surface Area=4×
7
22
×
4
441
Surface Area=22×63=1386 m
2