Calculate surface area of sphere whose volume is 4851cm3
Answers
Answered by
2
Hey
Here is your answer,
Your question : Calculate surface area of sphere whose volume is 4851cm3
Solution :
Given,
Volume of the sphere = 4851 cm³
Now, we know that,
Volume of sphere = (4/3)πr³
4851 cm³ = (4/3)πr³
r³ = 4851×(3/4)×(7/22)
r = 10.5
Now we know that,
Surface area of sphere = 4πr²
= 4× (22/7)× 10.5²
= 1385.44 cm²
Hope it helps you!
Here is your answer,
Your question : Calculate surface area of sphere whose volume is 4851cm3
Solution :
Given,
Volume of the sphere = 4851 cm³
Now, we know that,
Volume of sphere = (4/3)πr³
4851 cm³ = (4/3)πr³
r³ = 4851×(3/4)×(7/22)
r = 10.5
Now we know that,
Surface area of sphere = 4πr²
= 4× (22/7)× 10.5²
= 1385.44 cm²
Hope it helps you!
Answered by
1
Hey mate!
Here's your answer!!
________________
Volume of the sphere = 4/3πr³
Given volume = 4851cm³
![\frac{4}{3} \pi \: r {}^{3} = 4851 \frac{4}{3} \pi \: r {}^{3} = 4851](https://tex.z-dn.net/?f=+%5Cfrac%7B4%7D%7B3%7D+%5Cpi+%5C%3A+r+%7B%7D%5E%7B3%7D+%3D+4851)
![r {}^{3} = 4851 \times \frac{3}{4} \times \frac{1}{\pi} r {}^{3} = 4851 \times \frac{3}{4} \times \frac{1}{\pi}](https://tex.z-dn.net/?f=r+%7B%7D%5E%7B3%7D+%3D+4851+%5Ctimes+%5Cfrac%7B3%7D%7B4%7D+%5Ctimes+%5Cfrac%7B1%7D%7B%5Cpi%7D+)
![r {}^{3} = 1157.625 r {}^{3} = 1157.625](https://tex.z-dn.net/?f=r+%7B%7D%5E%7B3%7D+%3D+1157.625)
![r = 10.5 r = 10.5](https://tex.z-dn.net/?f=r+%3D+10.5)
Surface area of the sphere = 4πr²
![= 4 \times \frac{22}{7} \times 10.5 \times 10.5 = 4 \times \frac{22}{7} \times 10.5 \times 10.5](https://tex.z-dn.net/?f=+%3D+4+%5Ctimes+%5Cfrac%7B22%7D%7B7%7D+%5Ctimes+10.5+%5Ctimes+10.5)
![= 1386 \: sq.cm = 1386 \: sq.cm](https://tex.z-dn.net/?f=+%3D+1386+%5C%3A+sq.cm)
________________
Hope it helps you! ✌ ✌
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Here's your answer!!
________________
Volume of the sphere = 4/3πr³
Given volume = 4851cm³
Surface area of the sphere = 4πr²
________________
Hope it helps you! ✌ ✌
✪ Be Brainly ✪
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