Home
Class 10
MATHS
A cone of height 24 cm and radius of bas...

A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere.

Text Solution

AI Generated Solution

To find the radius of the sphere formed from the cone made of modeling clay, we will follow these steps: ### Step 1: Calculate the Volume of the Cone The formula for the volume of a cone is given by: \[ V_{cone} = \frac{1}{3} \pi r^2 h \] where \( r \) is the radius of the base and \( h \) is the height. ...
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise EXERCISE 13.2|8 Videos
  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise Exercise 13.3|9 Videos
  • SURFACE AREAS AND VOLUMES

    NCERT ENGLISH|Exercise EXERCISE 13.5|7 Videos
  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 14.1|9 Videos
  • TRIANGLES

    NCERT ENGLISH|Exercise Exercise 6.1|3 Videos

Similar Questions

Explore conceptually related problems

Find the volume of a sphere of radius 11.2 cm

Find the volume of a sphere of radius 7cm.

Threee metallic cones of radius 2cm and height 9 cm are melted and recast in to a solid sphere. Find the radius of the sphere.

Find the surface area of a sphere of radius 7 cm.

A solid metallic right circular cone of height 30cm and radius of the base 12 cm is melted and two solid spheres formed from it. If the volume of one of the sphere is 8 times that of the other find the radius of the smaller sphere.

Threee metallic cones of radius 2cm and height 9cm are melted and recast in to a solid sphere. Fuind the radius of the sphere.

Find the surface area of a sphere of radius 7cm.

A solid metallic right circular cone of height 6.75 cm and radius of the base 12 cm is melted and two solid sphees formed form it. If the volume of one of the sphere is 8 times that of the other find the radius of the smaller sphere.

A right circular cone is 8 cm high and radius of its base is 2 cm .The cone is metted and recaset in to a sphere. Determine the diameter of the sphere.

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