MathematicsWhich of the following is the radius of a solid sphere that has a volume of 10 m3?

Which of the following is the radius of a solid sphere that has a volume of $10$ $m^{3}$ ?

Consider the given question,
Volume of sphere

= 10

m^{3} .

We know that,
Volume of a sphere

= \frac{4}{3} π r^{3}

V = \frac{4}{3} π r^{3}

\Rightarrow r = \sqrt[3]{\frac{3 V}{4 π}}

r = {(\frac{3 \times 10}{4 π})}^{\frac{1}{3}}

r = {(\frac{30}{12.56})}^{\frac{1}{3}}

r = {(2.38)}^{\frac{1}{3}}

\Rightarrow r = 1.336 m

Hence, the radius is 1.336 m.
Therefore, option 1 is correct.

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