English

The Largest Sphere is Carved Out of a Cube of Side 10.5 Cm. Find the Volume of the Sphere. - Mathematics

Advertisements
Advertisements

Question

The largest sphere is carved out of a cube of side 10.5 cm. Find the volume of the sphere.

Solution

Given that,
The largest sphere is carved out of a cube of side =10.5cm
Volume of the sphere = ?
We have,
Diameter of the largest sphere =10.5cm 

2r =10.5

⇒ r=5.25cm

volume of sphere`= 4/3xx22/7xx(5.25)^3=4/3xx22/7xx5.25xx5.25xx5.25`

⇒ Volume =`(11xx441)/8cm^3=606.37cm^3`

shaalaa.com
  Is there an error in this question or solution?
Chapter 21: Surface Areas and Volume of a Sphere - Exercise 21.2 [Page 21]

APPEARS IN

RD Sharma Mathematics [English] Class 9
Chapter 21 Surface Areas and Volume of a Sphere
Exercise 21.2 | Q 20 | Page 21

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Find the amount of water displaced by a solid spherical ball of diameter 28 cm.

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

 


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

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

 


A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of ₹ 4989.60 If the cost of white-washing is ₹ 20 per square meter, find the

  1. inside surface area of the dome,
  2. volume of the air inside the dome.

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


A wooden bookshelf has external dimensions as follows: Height = 110 cm, Depth = 25 cm, Breadth = 85 cm (see the given figure). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing is 20 paise per cm2 and the rate of painting is 10 paise per cm2, find the total expenses required for polishing and painting the surface of the bookshelf.


Find the volume of a sphere whose radius is 2 cm.


A solid sphere and a solid hemisphere have an equal total surface area. Prove that the ratio of their volume is `3sqrt(3):4`


A spherical ball of radius r1 units is melted to make 8 new identical balls each of radius r2 units. Then r1 : ris


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


The number of planks of dimensions (4 m × 50 cm × 20 cm) that can be stored in a pit which is 16 m long, 12 m wide and 4 m deep is ______.


Two solid spheres made of the same metal have weights 5920 g and 740 g, respectively. Determine the radius of the larger sphere, if the diameter of the smaller one is 5 cm.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×