Question

The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.
​

Answer 1

$\huge\color{red} {\boxed{\tt{A}}} \color{blue} {\boxed{\tt{N}}} \color{hotpink}{\boxed{\tt{S}}} \color{blueviolet}{\boxed{\tt{W}}} \color{fuchsia}{\boxed{\tt{E}}}\color{lavender}{\boxed{\tt{R}}}$

$\red{ \star} \pmb{Diameter \: of \: the \: sphere = 7 m}$

$\red{ \star} \pmb{Radius =\frac{7}{2} = 3.5 m}$

$\pink{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

$\sf{Area \: available \: to \: motorcyclist \: for \: riding = Area \: of \: sphere}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4πr^2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4*\frac{22}{7}*3.5*3.5}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 154}$

The area available to the motorcyclist for riding is 154 m²

Answer 2

Diameter of the sphere = 7m

${Radius =\frac{7}{2} = 3.5 m}$

Area available to motorcyclist for riding = Area of sphere

${= 4πr^2} \\ \\ {= 4*\frac{22}{7}*3.5*3.5} \\ \\ {= 154}.$

The area available to the motorcyclist for riding is 154 m²