Find the volume of the sphere. Round your answer to the nearest tenth.

Question

asked Nov 13, 2023 101k views

1 Answer

Majstor · Answer 1 · 2023-11-19T18:24:19+0000

We know,

${\qquad { \longrightarrow \pmb {\sf Volume_((Sphere)) = (4)/(3) \pi {r}^(3) }}}$

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Here,

Diameter of the sphere is 28 m . Therefore, The radius of the sphere is 14 m.

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Substituting the values in the formula :

${ \longrightarrow {\qquad {\sf Volume_((Sphere)) = (4)/(3) * (22)/(7) * {\bigg(14 \bigg)}^(3) }}}$

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${ \longrightarrow {\qquad {\sf Volume_((Sphere)) = (4)/(3) * (22)/(7) * {2744 }}}}$

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${ \longrightarrow {\qquad {\sf Volume_((Sphere)) = (4)/(3) * (22)/( \cancel7) * \cancel{2744 }}}}$

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${ \longrightarrow {\qquad {\sf Volume_((Sphere)) = (4)/( \cancel3) * {22} * \cancel{392 }}}}$

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${ \longrightarrow {\qquad {\sf Volume_((Sphere)) = {4} * {22} * {130.66 }}}}$

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${ \longrightarrow {\qquad {\pmb{\mathfrak{ Volume_((Sphere)) = { 11498.66 }}}}}}$

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Therefore,

Volume of the sphere is about 11500 cubic meters . (Rounded to nearest tenth)