English

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. - Mathematics

Advertisements
Advertisements

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
Advertisements

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 m

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

shaalaa.com
  Is there an error in this question or solution?
Chapter 21: Surface Areas and Volume of a Sphere - Exercise 21.3 [Page 25]

APPEARS IN

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

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

Find the surface area of a sphere of radius 5.6 cm.

`["Assume "pi=22/7]`


The diameter of the moon is approximately one-fourth of the diameter of the earth. Find the ratio of their surface area.


On a map drawn to a scale of 1: 50,000, a rectangular plot of land ABCD has the following dimensions. AB = 6 cm; BC = 8 cm and all angles are right angles. Find:

1) the actual length of the diagonal distance AC of the plot in km.

2) the actual area of the plot in sq. km.


Find the surface area of a sphere of diameter 14 cm.


The surface area of a sphere is 2464 cm2, find its volume. 


Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted and recasted into a single solid sphere. Taking π = 3.1, find the surface area of the solid sphere formed.


A hollow sphere of internal and external diameter 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone. 


A solid is in the form of a cone standing on a hemi-sphere with both their radii being equal to 8 cm and the height of cone is equal to its radius. Find, in terms of π, the volume of the solid. 


The total surface area of a hemisphere of radius r is


A sphere and a cube are of the same height. The ratio of their volumes is 


If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is 


If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is


A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is 


Find the surface area and volume of sphere of the following radius.  (π = 3.14 )

3.5 cm


The total area of a solid metallic sphere is 1256 cm2. It is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate: the number of cones recasted [π = 3.14]


A conical tent is to accommodate 77 persons. Each person must have 16 m3 of air to breathe. Given the radius of the tent as 7 m, find the height of the tent and also its curved surface area. 


A spherical cannon ball, 28 cm in diameter is melted and recast into a right circular conical mould, the base of which is 35 cm in diameter. Find the height of the cone, correct to one place of decimal.


A vessel is in he form of an inverted cone. Its height is 11 cm., and the radius of its top which is open is 2.5 cm. It is filled with water up to the rim. When lead shots, each of which is a sphere of radius 0.25 cm., are dropped 2 into the vessel, `2/5`th of the water flows out. Find the number of lead shots dropped into the vessel.


The surface area of a solid metallic sphere is 616 cm2. It is melted and recast into smaller spheres of diameter 3.5 cm. How many such spheres can be obtained?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×