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.

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Answer 1

Diameter of the sphere = 7m

`{Radius =(7)/(2) = 3.5 m}`

Area available to motorcyclist for riding = Area of sphere

`{= 4πr^2} \\ \\ {= 4*(22)/(7)*3.5*3.5} \\ \\ {= 154}.`

The area available to the motorcyclist for riding is 154 m²

Answer 2

`\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 =(7)/(2) = 3.5 m}`

`\pink{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}`

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

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

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4*(22)/(7)*3.5*3.5}`

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 154}`

The area available to the motorcyclist for riding is 154 m²