The volume of a sphere is 88/21 cubic meters. Find its surface area
Answers
Answer:
Given:
The volume of sphere is 88/21m³.
We know that, Volume of spheres is;
= > \frac{4}{3} \pi {r}^{3}=>
3
4
πr
3
Therefore,
\begin{gathered} = > \frac{4}{3} \pi {r}^{3} = \frac{88}{21} \\ \\ = > \frac{4}{3} \times \frac{22}{7} \times {r}^{3} = \frac{88}{21} \\ \\ = > \frac{88}{21} \times {r}^{3} = \frac{88}{21} \\ \\ = > {r}^{3} = \frac{ \frac{ \frac{88}{21} }{88} }{21} \\ \\ = > {r}^{3} = \frac{88}{21} \times \frac{21}{88} \\ \\ = > {r}^{ 3} = 1 \\ \\ = > r = 1m\end{gathered}
=>
3
4
πr
3
=
21
88
=>
3
4
×
7
22
×r
3
=
21
88
=>
21
88
×r
3
=
21
88
=>r
3
=
21
88
21
88
=>r
3
=
21
88
×
88
21
=>r
3
=1
=>r=1m
Now,
We know that, surface area of sphere is;
= > 4\pi {r}^{2}=>4πr
2
Therefore,
\begin{gathered} = > 4 \times \frac{22}{7} \times (1) {}^{2} \\ \\ = > \frac{88}{7} \times 1 \\ \\ = > 12.57m {}^{2} \end{gathered}
=>4×
7
22
×(1)
2
=>
7
88
×1
=>12.57m
2
Thus,
The surface area of the sphere is 12.57m².
Hope it helps
Answer:
Surface area of sphere:
- The region a spherical object's surface covers in a three-dimensional space is known as the sphere's area or total surface area. The curved surface area is equal to the whole area of the sphere since the sphere is completely curved. Additionally known as lateral surface area.
- Surface Area of a Sphere equals
, where r is the sphere's radius.
- Every point on the surface of a sphere's curving surface is the same distance from the centre. A sphere is a solid shape. So a sphere is a completely round geometrical entity in three dimensions, similar to the surface of a ball, to put it another way.
Step-by-step explanation:
Volume of sphere
Surface area of sphere.
For more similar questions refer to-
https://brainly.in/question/12857980
https://brainly.in/question/985843
#SPJ2