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Question

Find the volume of a spherical beach ball wit h a diameter of

Solution

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The volume of a sphere with radius rr is given by the formula,

V=43πr3V=\dfrac{4}{3}\pi r^3

Here, we have the diameter of sphere d=38d=38cm

\Rightarrow radius=d2=382=19\text{radius}=\dfrac{d}{2}=\dfrac{38}{2}=19cm

V=43πr3V=43π×193V=27436π3V=28716.3467V28716.35\begin{align*} V&=\dfrac{4}{3}\pi r^3\tag{Put $r=19$}\\ V&=\dfrac{4}{3}\pi \times 19^3\\ V&=\dfrac{27436\pi}{3}\tag{Put $\pi=3.14$}\\ V&=28716.3467\\ V&\approx28716.35 \end{align*}

The volume of the sphere is about 28716.35 cm328716.35\text{ cm}^3

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