हिंदी

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.

Advertisements
Advertisements

प्रश्न

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.

टिप्पणी लिखिए
Advertisements

उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 21: Surface Areas and Volume of a Sphere - Exercise 21.3 [पृष्ठ २५]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 9
अध्याय 21 Surface Areas and Volume of a Sphere
Exercise 21.3 | Q 4 | पृष्ठ २५

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Find the total surface area of a hemisphere of radius 10 cm. [Use π = 3.14]


A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of ₹ 16 per 100 cm2.

`["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.


The surface area of a solid metallic sphere is 2464 cm2. It is melted and recast into solid right circular cones of radius 3.5 cm and height 7 cm. Calculate:

  1. the radius of the sphere.
  2. the number of cones recast. (Take π = `22/7`)

Find the surface area of a sphere of radius 10.5 cm. 


Find the surface area of a sphere of diameter 3.5 cm.


Find the total surface area of a hemisphere and a solid hemisphere each of radius 10 cm.
(Use 𝜋 = 3.14)


The surface area of a solid sphere is increased by 12% without changing its shape. Find the percentage increase in its:

  1. radius
  2. volume

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 cross-section of a tunnel is a square of side 7 m surmounted by a semi-circle as shown in the adjoining figure. The tunnel is 80 m long.

Calculate:

  1. its volume,
  2. the surface area of the tunnel (excluding the floor) and
  3. its floor area.   


How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being 4 cm in diameter?


The total surface area of a hemisphere of radius r is


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


Find the surface area of a sphere, if its volume is 38808 cubic cm. `(π = 22/7)`


A sphere has the same curved surface area as the curved surface area of a cone of height 36 cm and base radius 15 cm . Find the radius of the sphere . 


Find the volume of the hollow sphere whose inner diameter is 8 cm and the thickness of the material of which it is made is 1 cm . 


A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3 cm and height 4 cm.  How many containers are necessary to empty the bowl?


The given figure shows the cross-section of a cone, a cylinder and a hemisphere all with the same diameter 10 cm and the other dimensions are as shown.


Calculate :

  1. the total surface area.
  2. the total volume of the solid and
  3. the density of the material if its total weight is 1.7 kg.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×