What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
1 m
Answers
Answer:
volume of this sphere is 4.19 cm³
Explanation:
volume of sphere: [tex]\frac{4}{3}[/tex]πr³
Here the radius of the sphere is 1 meter.
Using the formula:
[tex]\frac{4}{3}[/tex] * 3.14 * 1³
4.19 cm³
Answer:
[tex]{\purple{\boxed{4.19}}}[/tex] cubic meters.
Step-by-step explanation:
DIAGRAM :
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf{1\ m}}\end{picture}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Here's the required formula to find the volume of sphere :
[tex]\longrightarrow{\pmb{\sf{V_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3}}}}[/tex]
V = Volumeπ = 3.14r = radiusSubstituting 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 3.14 \times {(1)}^{3}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1 \times 1)}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1 \times 1)}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times {(1)}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 1}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{4}{3} \times 3.14}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} = \dfrac{12.56}{3}}}}[/tex]
[tex]{\longrightarrow{\sf{V_{(Sphere)} \approx 4.19}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{V_{(Sphere)} \approx 4.19 \: {m}^{3}}}}}}[/tex]
Hence, the volume of sphere is 4.19 m³.
[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]
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Answers
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Statement:
The radius of the sphere is 2 inches.
To find out:
The volume of the sphere.
Solution:
Radius (r) = 2 inπ we have to consider as 3.14.We know, volume of a sphere [tex] = \frac{4}{3} \pi \: {r}^{3} [/tex]Therefore, the volume of the sphere[tex] = \frac{4}{3} \times 3.14 \times {(2)}^{3} \: \: cubic \: \: inches \\ = \frac{4}{3} \times 3.14 \times 8 \: \: cubic \: \: inches \\ = 33.49 \: \: cubic \: \: inches[/tex]
Answer:
The volume of the sphere is 33.49 cubic inches.
Hope you could understand.
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[tex]\bold{Heya}[/tex] ~
✰ [tex]\sf{Solve~for~x}[/tex] ✰
[tex]\sf{19x~=~361}[/tex]
[tex]\huge \boxed {\underline{Explanation}}[/tex]
—————————————
[tex]\sf{19x~=~361}[/tex]
[tex]\sf{Divide~both~sides~by~19}[/tex]
[tex]\sf{\frac{19x}{19}~=~\frac{361}{19}[/tex].
[tex]\sf{Simplify}[/tex]
[tex]\sf{x~=~19}[/tex]
Hope It Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer~:}[/tex]
Jace •᎑•
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Answers
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Answers
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Hey there!
3,100 × 1/10
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~Amphitrite1040:)
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Answers
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