English

Find the surface area of a sphere of diameter 21 cm. Assume [Assume π=227]

Advertisements
Advertisements

Question

Find the surface area of a sphere of diameter 21 cm.

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

Sum
Advertisements

Solution

Radius (r) of sphere = `"Diameter"/2`

= `(21/2) cm`

= 10.5 cm

Surface area of sphere = 4πr2

= `[4xx22/7xx(10.5)^2] cm^2`

= 1386 cm2

Therefore, the surface area of a sphere having diameter 21 cm is 1386 cm2.

shaalaa.com
  Is there an error in this question or solution?
Chapter 11: Surface Area and Volumes - EXERCISE 11.2 [Page 145]

APPEARS IN

NCERT Mathematics [English] Class 9
Chapter 11 Surface Area and Volumes
EXERCISE 11.2 | Q 2. (ii) | Page 145

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

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

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


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

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


A certain number of metallic cones, each of radius 2 cm and height 3 cm are melted and recast into a solid sphere of radius 6 cm. Find the number of cones.


A solid sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast.


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.


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 sphere of radius 15 cm is melted and recast into solid right circular cones of radius 2.5 cm and height 8 cm. Calculate the number of cones recast. 


Find the total surface area of a hemisphere of radius 10 cm.


If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively melted into a cone of base diameter 8 cm, then find the height of the cone.


The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be


If a sphere is inscribed in a cube, then the ratio of the volume of the sphere to the volume of the cube is


A hemispherical and a conical hole is scooped out of a.solid wooden cylinder. Find the volume of the  remaining solid where the measurements are as follows:
The height of the solid cylinder is 7 cm, radius of each of hemisphere, cone and cylinder is 3 cm. Height of cone is 3 cm.

Give your answer correct to the nearest whole number.Taken`pi = 22/7`.


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

4 cm


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

 9 cm


If the surface area of a sphere is 2826 cm2 then find its volume. ( π= 3.14)


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 . 


From a rectangular solid of metal 42 cm by 30 cm by 20 cm, a conical cavity of diameter 14 cm and depth 24 cm is drilled out. Find: the volume of remaining solid 


A solid, consisting of a right circular cone standing on a hemisphere, is placed upright, in a right circular cylinder, full of water and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm; the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer to the nearest cubic centimetre.


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?


A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of the balls are 1.5 cm and 2 cm. Find the diameter of the third ball.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×