Question

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

Answer 1

We know,

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

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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 $\sf\dfrac{22}{7} .$

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Substituting the values in the formula :

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

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

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

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

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

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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)