Question

If the radius of a sphere is 5cm what’s the volume

Answer 1

`\Huge \fbox{Volume = 523.33 (rounded to 2 d.p)}`

Explanation:

If the radius of a sphere is 5cm, we can calculate its volume using the formula for the volume of a sphere, which is:

`\huge \fbox{V = $(4)/(3)$ $*$ $\pi$ $*$ $r^(3)$}`

Where
`V` is the volume of the sphere,
`r` is the radius of the sphere, and
`\pi` (pi) is a mathematical constant approximately equal to 3.14.

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Calculation

Substituting the radius value into the formula, we get:

`\large \boxed{\begin{minipage}{9 cm}\text{V = $(4)/(3)$ $*$ $\pi$ $*$ $5cm^(3)$}\\\\\text{V = $(4)/(3)$ $*$ $\pi$ $*$ 125cm}\\\\\text{V = $(4)/(3)$ $*$ 3.14 $*$ 125cm}\\\\\text{V = 523.33 $cm^(2)$ (rounded to 2 decimal places)}\end{minipage}}`

Therefore, the volume of the sphere is approximately 523.33 cm³

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