English

The Volume of a Sphere is 905 1/7 Cm3, Find Its Diameter.

Advertisements
Advertisements

Question

The volume of a sphere is 905 1/7 cm3, find its diameter.

Sum
Advertisements

Solution

Volume of a sphere = `905 1/7`

`4/3 πr^3 = 6336/7`

`r^3 = (6336 xx 7 xx 3)/( 4 xx 22 xx 7)`

r3 = 216
r = `root(3)(216)`
r = 6 cm

∴ Diameter of a sphere = 2r = 2 x 6 = 12 cm.

shaalaa.com
  Is there an error in this question or solution?

RELATED QUESTIONS

A right circular cylinder just encloses a sphere of radius r (see figure). Find

  1. surface area of the sphere,
  2. curved surface area of the cylinder,
  3. ratio of the areas obtained in (i) and (ii).


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


A cylinder of same height and radius is placed on the top of a hemisphere. Find the curved
surface area of the shape if the length of the shape be 7 cm.


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.


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


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?


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 weight of the material drilled out if it weighs 7 gm per cm3.


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.

A sphere cut out from a side of 7 cm cubes. Find the volume of this 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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×