Question

Find the volume of the sphere.

Either enter an exact answer in terms of π or use 3.14, point, 14 for π and round your final answer to the nearest hundredth

Answer 1

`\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (8)^3}{3}\implies V=\cfrac{2048\pi }{3}\\\\ V\approx 2144.66 \end{array}`

Answer 2

The volume of sphere is 2143.57.

Step-by-step Step-by-step explanation:

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

`{\star{\small{\underline{\boxed{\sf{\purple{Volume_((Sphere)) = (4)/(3)\pi {r}^(3)}}}}}}}`

• »» π = 3.14
• »» r = radius

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

`{\dashrightarrow{\sf{Volume_((Sphere)) = (4)/(3) * 3.14 {(8)}^(3)}}}`

`{\dashrightarrow{\sf{Volume_((Sphere)) = (4)/(3) * 3.14 {(8 * 8 * 8)}}}}`

`{\dashrightarrow{\sf{Volume_((Sphere)) = (4)/(3) * 3.14 {(64 * 8)}}}}`

`{\dashrightarrow{\sf{Volume_((Sphere)) = (4)/(3) * 3.14 {(512)}}}}`

`{\dashrightarrow{\sf{Volume_((Sphere)) = (4)/(3) * 3.14 * 512}}}`

`{\dashrightarrow{\sf{Volume_((Sphere)) = (4 * 3.14 * 512)/(3)}}}`

`{\dashrightarrow{\sf{Volume_((Sphere)) = (12.56* 512)/(3)}}}`

`{\dashrightarrow{\sf{Volume_((Sphere)) = (6430.72)/(3)}}}`

`{\dashrightarrow{\sf{Volume_((Sphere)) \approx 2143.57}}}`

`\star{\underline{\boxed{\sf{\red{Volume_((Sphere)) \approx 2143.57}}}}}`

Hence, the volume of sphere is 2143.57.

`\rule{300}{2.5}`