Question

If volume of sphere is $850$ $m^3$ then its radius and surface area are

• A. $6m$, $450$ $m^2$
• B. $5m$, $560$ $m^2$
• C. $2m$, $780$ $m^2$
• D. $5.88m$, $434$ $m^2$

Answer 1

The correct option is D $5.88m$, $434$ $m^2$

Volume of Sphere $=850m^3=\frac{4}{3}\pi r^3\Rightarrow r^3=\frac{850\times 3\times 7}{4\times 22}=202.84\Rightarrow r=\sqrt[3]{3202.84}=5.88m$

Surface area $=4\pi r^2=4\times \frac{22}{7}\times 5.88\times 5.88\approx 434m^2$