Question

$the \: volume \: of \: a \: sphere \: is \: 4851cc \:. \: what \: is \: its \: diameter$



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Answer 1

Given :

•The volume of a sphere is 4851 cm³

To Find :

• What is it's diameter =?

Formula :

• Volume of the sphere = $\sf{\dfrac{4}{3} \pi r^{3} }$

•$\sf{Diameter= 2 \times radius }$

Solution :

According to given question :

$\\ \\ \implies \sf \: Volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} \\ \\ \\ \implies \sf \: 4851 = \frac{4}{3} \pi {r}^{3} \\ \\ \\ \implies \sf \: {r}^{3} = \frac{4851 \times 3}{4 \times 3.14} \\ \\ \\ \implies \sf \: r = \sqrt[3]{ \frac{4851 \times 3}{4 \times 3.14} } = \boxed{ \sf{10.5}}$

The radius =10.5

$\implies \sf \: Diameter = 2 \times 10.5 \\ \\ \implies \boxed{ \sf{Diameter = 21.0cm}}$