What is its surface area of the sphere if… | Answer | TuitionWave

Subject

Quantitative Aptitude

Topic

Mensuration

What is its surface area of the sphere if the volume of the sphere is $179\frac{2}{3}$ m3?
Reading

ক)

154 m2

খ)

144 m2

গ)

221 m2

ঘ)

151 m2

ঙ)

None of these

Explanation

Volume of the sphere is given by (4/3)π r 3 Surface area of sphere is 4π r 2 Given, volume of the sphere is

179\frac{2}{3} = \frac{{539}}{3}

m 3

\begin{array}{l} \Rightarrow \left( {\frac{4}{3}} \right)\pi \;{r^3} = \left( {\frac{{539}}{3}} \right)\\ \Rightarrow r = {\left( {\frac{{539}}{{4\pi }}} \right)^{\frac{1}{3}}}m \end{array}

Now, Surface area of sphere is

= \;4 \times \;\frac{{22}}{7} \times \;{\left( {\frac{{539}}{{4\pi }}} \right)^{\frac{2}{3}}} = 154{m^2}

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