English
Maharashtra State BoardSSC (English Medium) 9th Standard

Find the surface area and volume of sphere of the following radius. (π = 3.14 ) 3.5 cm

Advertisements
Advertisements

Question

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

3.5 cm

Sum
Advertisements

Solution

Radius of the sphere, r = 3.5 cm

Surface area of the sphere =  4 πr2 

= 4 × 3.14 × (3.5)2 

= 153.86 cm2

Volume of the sphere = `4/3`πr3 

= `4/3 xx 3.14 xx (3.5)^3`

= 179.50 cm3

shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Surface Area and Volume - Practice Set 9.3 [Page 123]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 9 Surface Area and Volume
Practice Set 9.3 | Q 1. (iii) | Page 123

RELATED QUESTIONS

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

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


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

`["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 model of a ship is made to a scale 1: 300

1) The length of the model of the ship is 2 m. Calculate the lengths of the ship.

2) The area of the deck ship is 180,000 m2. Calculate the area of the deck of the model.

3) The volume of the model in 6.5 m3. Calculate the volume of the ship.


Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.


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.


The surface area of a sphere is 5544 `cm^2`, find its diameter.


Assuming the earth to be a sphere of radius 6370 km, how many square kilo metres is area
of the land, if three-fourth of the earth’s surface is covered by water?


A hemi-spherical dome of a building needs to be painted. If the circumference of the base of
the dome is 17.6 cm, find the cost of painting it, given the cost of painting is Rs. 5 per l00
`cm^2`


How many balls each of radius 1 cm can be made by melting a bigger ball whose diameter is 8 cm?


The volume of one sphere is 27 times that of another sphere. Calculate the ratio of their :

  1. radii,
  2. surface areas. 

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 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 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.


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 :

  1. the radius of the solid sphere.
  2. the number of cones recast. [Take π = 3.14]

Find the maximum volume of a cone that can be carved out of a solid hemisphere of radius r cm. 


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. 


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 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 ratio of the total surface area of a sphere and a hemisphere of same radius 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


The ratio between the volume of a sphere and volume of a circumscribing right circular cylinder is 


The model of a building is constructed with the scale factor 1 : 30. 
(i) If the height of the model is 80 cm, find the actual height of the building in meters.
(ii) If the actual volume of a tank at the top of the building is 27m3, find the volume of the tank on the top of the model. 


Find the volume of a sphere, if its surface area is 154 sq.cm.


Find the radius of the sphere whose surface area is equal to its volume .


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 . 


The internal and external diameters of a hollow hemi-spherical vessel are 21 cm and 28 cm respectively. Find volume of material of the vessel.


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]


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)`


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.


There is a ratio 1: 4 between the surface area of two spheres, find the ratio between their radius.


The internal and external diameters of a hollow hemispherical vessel are 20 cm and 28 cm respectively. Find the cost to paint the vessel all over at ₹ 0.14 per cm2


A solid sphere is cut into two identical hemispheres.

Statement 1: The total volume of two hemispheres is equal to the volume of the original sphere.

Statement 2: The total surface area of two hemispheres together is equal to the surface area of the original sphere.

Which of the following is valid?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×