Question

HELP ME OUT PLS!!!!

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​

Answer 1

• Option c (1436.0 cm³)

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Explanation :

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We know,

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

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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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`{ \longrightarrow {\qquad {\sf Volume_((Sphere)) = (4)/(3) *3.14 * {\bigg(7 \bigg)}^(3) }}}`

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`{ \longrightarrow {\qquad {\sf Volume_((Sphere)) = (4)/(3) * 3.14 * 343 }}}`

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`{ \longrightarrow {\qquad {\sf Volume_((Sphere)) = (4 * 3.14 * 343)/(3) }}}`

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`{ \longrightarrow {\qquad {\sf Volume_((Sphere)) = (4308.08)/(3)}}}`

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`{ \longrightarrow{\qquad \pmb {\sf Volume_((Sphere)) = 1436.02 }}}`

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Therefore,

• The volume of the sphere is 1436.0 cm³