हिंदी

Find the surface area and volume of sphere of the following radius. (π = 3.14 ) 9 cm - Geometry

Advertisements
Advertisements

प्रश्न

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

 9 cm

योग
Advertisements

उत्तर

Radius of the sphere, r = 9 cm

Surface area of the sphere = 4πr2 

= 4 × 3.14 × (9 cm)2 

= 1017.36 cm2

Volume of the sphere = `4/3`πr3

= `4/3` x 3.14 x (9 cm)3

= 3052.08 cm3

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Surface Area and Volume - Practice Set 9.3 [पृष्ठ १२३]

APPEARS IN

बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
अध्याय 9 Surface Area and Volume
Practice Set 9.3 | Q 1. (ii) | पृष्ठ १२३

संबंधित प्रश्न

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

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


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

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


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


Find the radius of a sphere whose surface area is 154 cm2.

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

 


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 5.6 cm.


Find the surface area of a sphere of radius 14 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)


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 Rs. 4 per 100 `cm^2`


The dome of a building is in the form of a hemisphere. Its radius is 63 dm. Find the cost of painting it at the rate of Rs. 2 per sq. m. 


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


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 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. 


A solid rectangular block of metal 49 cm by 44 cm by 18 cm is melted and formed into a solid sphere. Calculate the radius of the sphere.


A hollow sphere of internal and external radii 6 cm and 8 cm respectively is melted and recast into small cones of base radius 2 cm and height 8 cm. Find the number of cones.


What is the least number of solid metallic spheres, each of 6 cm diameter, that should be melted and recast to form a solid metal cone whose height is 45 cm and diameter 12 cm?


A largest sphere is to be carved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere. 


Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.


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


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.


If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq.cm) is


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


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


The radius of a sphere is 9 cm. It is melted and drawn into a wire of diameter 2 mm. Find the length of the wire in metre. 


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 . 


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 : the number of cones recast.  `("Take"  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 used.


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. 


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


There is surface area and volume of a sphere equal, find the radius of sphere.


The cylinder of radius 12 cm have filled the 20 cm with water. One piece of iron drop in the stands of water goes up 6.75 cm. Find the radius of sphere piece.


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?


The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is ______.


A manufacturing company prepares spherical ball bearings, each of radius 7 mm and mass 4 gm. These ball bearings are packed into boxes. Each box can have a maximum of 2156 cm3 of ball bearings. Find the:

  1. maximum number of ball bearings that each box can have.
  2. mass of each box of ball bearings in kg.
    (Use π = `22/7`)

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×