Question

Find the volume of the sphere please help asap i dont know how to do it

Answer 1

Volume = 972π units^3

Explanation:

1. Firstly, to find the volume of a sphere, we use the equation, 4/3 × π × r^3.

2. Secondly, find the radius. According to the image, the radius, which is the line drawn from the center of the sphere to the circumference, is 9.

3. Thirdly, plug the radius into the equation, as so: 4/3 × π × 9^3.

4. Lastly, since the answer needs to be exact, we have to not multiply pi, and solely stick it on our answer. In other words, multiply 4/3 and 9^3, which is 972, and stick the pi sign on the end, making the answer 972π.

Answer 2

The volume of sphere is
`\boxed{\tt{3052.08}}` units³.

Step-by-step explanation:

`{\tt{\purple{\underline{\underline{\pink{SOLUTION \: : - }}}}}}`

Here's the required formula to find the volume of sphere :

`{\implies{\pmb{\sf{V_((Sphere)) = (4)/(3) \pi {r}^(3)}}}}`

• 
  `\green\star` V = Volume
• 
  `\green\star` π = 3.14
• 
  `\green\star` r = radius

Substituting all the given values in the formula to find volume of sphere :

`{\implies{\sf{Volume_((Sphere)) = (4)/(3) \pi {r}^(3)}}}`

`{\implies{\sf{Volume_((Sphere)) = (4)/(3) * 3.14{(9)}^(3)}}}`

`{\implies{\sf{Volume_((Sphere)) = (4)/(3) * 3.14{(9 * 9 * 9)}}}}`

`{\implies{\sf{Volume_((Sphere)) = (4)/(3) * 3.14{(9 * 81)}}}}`

`{\implies{\sf{Volume_((Sphere)) = (4)/(3) * 3.14{(729)}}}}`

`{\implies{\sf{Volume_((Sphere)) = \frac{4}{\cancel{3}} * 3.14 * \cancel{729}}}}`

`{\implies{\sf{Volume_((Sphere)) = 4 * 3.14 * 243}}}`

`{\implies{\sf{Volume_((Sphere)) = 972 * 3.14}}}`

`{\implies{\sf{Volume_((Sphere)) = 3052.08}}}`

`\star{\underline{\boxed{\sf{\red{Volume_((Sphere)) = 3052.08 \: {units}^(3)}}}}}`

Hence, the volume of sphere is 3052.08 units³.

`\begin{gathered}\end{gathered}`

`{\tt{\purple{\underline{\underline{\pink{EXTRA \: INFORMATION}}}}}}`

Some related formulae

• 
  `\green\star` Surface area of sphere = 4πr²
• 
  `\green\star` Volume of cone = 1/3 πr²h
• 
  `\green\star` Area of circle = πr²
• 
  `\green\star` Circumference = 2πr
• 
  `\green\star` Diameter = 2 × Radius
• 
  `\green\star` Radius = Diameter/2
• 
  `\green\star` Curved surface area of cone = πrl
• 
  `\green\star` Total surface area of cone = πrl + πr²h
• 
  `\green\star` Volume of cylinder = πr²h
• 
  `\green\star` Total surface area of cylinder = 2πrh + 2πr²

`\rule{300}{2.5}`