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

Answer:

The volume of sphere is 2143.57.

Step-by-step explanation:

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

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

• »» π = 3.14
• »» r = radius

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{4}{3}\pi {r}^{3}}}}$

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 {(8)}^{3}}}}$

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 {(8 \times 8 \times 8)}}}}$

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 {(64 \times 8)}}}}$

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 {(512)}}}}$

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 512}}}$

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{4 \times 3.14 \times 512}{3}}}}$

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{12.56\times 512}{3}}}}$

${\dashrightarrow{\sf{Volume_{(Sphere)} = \dfrac{6430.72}{3}}}}$

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

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

Hence, the volume of sphere is 2143.57.

$\rule{300}{2.5}$