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The Hollow Sphere, in Which the Circus Motor Cyclist Performs His Stunts, Has a Diameter of 7 M. Find the Area Available to the Motorcyclist for Riding.

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Question

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

Short/Brief Note
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Solution

In the given problem, the area available for the motorcyclist for riding will be equal to the surface area of the hollow sphere. So here, we have to find the surface area of a hollow sphere of a given diameter.

Diameter of the sphere (d) = 7 m

So, surface area of the sphere = `4 pi (d/2)^2`

`=4(22/7)(7/2)^2`

`=(22/7)(3.5)^2`

=154 m2 

Therefore, the area available for the motorcyclist for riding is 154 m2  .

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Chapter 21: Surface Areas and Volume of a Sphere - Exercise 21.3 [Page 25]

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R.D. Sharma Mathematics [English] Class 9
Chapter 21 Surface Areas and Volume of a Sphere
Exercise 21.3 | Q 4 | Page 25

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