Maryorierzidn
Answered

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The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for pi.

O 723,2 cm

O 1868.2 cm

O 1436,0 cm

O 2052,5 cm​

Sagot :

  • Option c (1436.0 cm³)

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Explanation :

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We know,

[tex]{ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

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Here,

  • The radius of the sphere is 7 cm.

  • We will take the value of π as 3.14

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Substituting the values in the formula :

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[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times3.14 \times {\bigg(7 \bigg)}^{3} }}}[/tex]

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[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 343 }}}[/tex]

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[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4 \times 3.14 \times 343}{3} }}}[/tex]

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[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4308.08}{3}}}}[/tex]

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[tex]{ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = 1436.02 }}}[/tex]

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Therefore,

  • The volume of the sphere is 1436.0 cm³

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