Home
Class 10
MATHS
A sector of a circular is of radius 12 c...

A sector of a circular is of radius 12 cm and angle `120^(@)`. It is rolled up so that two bounding radii are joined together to form a cone. Find the volume of the cone.

Text Solution

Verified by Experts

The correct Answer is:
`8sqrt2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - LONG ANSWER [LA] TYPE-QUESTIONS|18 Videos
  • STATISTICS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos
  • TRIANGLES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS - LONG ANSWER TYPE QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

From a circle of radius 15cm . A sector with angle 216 ^(@) is cut out and its bounding radius are bent so as to form a cone . Find its volume.

The faces of two cubes of volume 64 cm^3 each are joined together to form a cuboid. Find the total surface area fo the cuboid.

The faces of two cubes of volume 125 cm^3 each are joined together to form a cuboid. Find the total surface area of the cuboid.

A chord of a circle of radius 12cm subtends an angle of 120^@ at the centre. Find the area of the corresponding segments of the circle.

From the top of a cone of base radius 12 cm and height 20 cm. a small cone of base radius 3cm is to be cut off. How far down the vertex is the cuts should be made ? Find the volume of the frustum so obtained .

In a circle of radius 21 cm, an arc subtends an angle of 60^(@) at the centre. Find area of the sector formed by the arc.

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

A right circular cone is of the height 3.6 cm and radius of its base is 1.6 cm . It is melted and recasted into a right circular cone with radius of its base 1.2 cm. Find the height of the cone so formed.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom . Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of pi .