Question

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

Answer 1

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.

• We will take the value of π as
  `\sf(22)/(7) .`

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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)