English

A Sphere Cut Out from a Side of 7 Cm Cubes. Find the Volume of this Sphere? - Mathematics

Advertisements
Advertisements

Question

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

Sum

Solution

∵ Diameter of sphere equal to sides of cube.

∴ Radius of sphere = `7/2` cm

Volume of sphere = `4/3` πr3

Volume of sphere = `4/3 xx 22/7 xx 7/2 xx 7/2 xx 7/2`

Volume of sphere = `539/3 = 179.66` cm3.

shaalaa.com
  Is there an error in this question or solution?
Chapter 17: Mensuration - Exercise 1

APPEARS IN

ICSE Mathematics [English] Class 10
Chapter 17 Mensuration
Exercise 1 | Q 22

RELATED QUESTIONS

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

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


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


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 10.5 cm . 


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


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. 


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.


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?


The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire. 


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 the surface area of a sphere is 144π m2, then its volume (in m3) is 


A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is r, then the volume of the cylinder is 


A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes 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`.


How many lead balls of radii 1 cm each can be made from a sphere of 8 cm radius?


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.


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


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×