Question

The value of radius for which the numerical value of total surface area of a sphere and the volume of sphere are equal, will be:(Consider the units of volume and surface area as ${cm}^3\text{and}{cm}^2$)

• A. $1cm$
• B. $2cm$
• C. $3cm$
• D. $4cm$

Answer 1

The correct option is C $3cm$

Let radius of sphere be ${}^{\prime }{r}^{\prime }㎝$, then

TSA of sphere=volume of sphere

$\Rightarrow 4\pi r^2=\frac{4}{3}\pi r^3\Rightarrow r=3cm$