Answer:
V ≈ [tex]{\boxed{\sf{\green{32}}}}[/tex] cm³
Step-by-step explanation:
DIAGRAM :
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[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Here's the required formula to find the volume of sphere :
[tex]\longrightarrow{\pmb{\sf{V = \dfrac{4}{3} \pi {r}^{3}}}}[/tex]
- V = Volume
- π = 3
- r = radius
Substituting all the given values in the formula to find the volume of sphere :
[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}[/tex]
[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3 \times {(2)}^{3}}}[/tex]
[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3 \times {(2 \times 2 \times 2)}}}[/tex]
[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3 \times {(4 \times 2)}}}[/tex]
[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3 \times (8)}}[/tex]
[tex]\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{\cancel{3}}\times \cancel{3} \times 8}}[/tex]
[tex]\longrightarrow{\sf{V_{(Sphere)} = 4 \times 8}}[/tex]
[tex]\longrightarrow{\sf{V_{(Sphere)} = 32}}[/tex]
[tex] \star{\boxed{\sf{\red{V_{(Sphere)} \approx 32 \: {cm}^{3}}}}}[/tex]
Hence, the volume of sphere is 32 cm³.
[tex]\begin{gathered}\end{gathered}[/tex]
LEARN MORE :
[tex]\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}[/tex]
[tex]\rule{300}{2.5}[/tex]
