Question

The diameter of a sphere is 2.14 cm.
Calculate the volume of the sphere to the
correct number of significant figures.
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Answer 1

Explanation:

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Answer 2

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$\bigstar \sf \large \underline \purple{given}$

$\: \: \: \: \: \: \bigstar \huge \small { \sf \red{the \: diameter \: of \: a \: sphere \: is \: 2.14cm}}$

$\: \: \: \: \: \: \mapsto \sf \pink{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }$

$\: \: \: \: \: \: \mapsto \sf{d = 2r}$

$\: \: \: \: \: \: \mapsto \sf{2r = 2.14}$

$\: \: \: \: \: \: \mapsto \sf{r = \cancel \red{ \frac{2.14}{2} }} = \green{ 1.07cm}$

$\: \: \: \: \implies \boxed {\rm \: put \: the \: value \: in \: volume \: of \: sphere}$

$\: \: \: \: \: \: \mapsto \bf {v = \frac{4}{3} \times 3.14 \times {(1.07)}^{3} }$

$\: \: \: \: \: \: \mapsto \bf{v = 1.33 \times 3.14 \times {(1.07)}^{3} }$

$\: \: \: \: \: \mapsto \bf{v = 5.0006...... = \approx \: 5.00 {cm}^{3} }$