Home
Class 10
MATHS
A cone of radius 10 cm is cut into two p...

A cone of radius 10 cm is cut into two parts by a plane through the mid-point of its vertical axis parallel to the base . Find the ratio of the volumes of the smaller cone and frustum of the cone.

Text Solution

Verified by Experts

The correct Answer is:
`1/7`
Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 15.1)|9 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 15.2)|8 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

Find the volume of the cone having radius 7 cm and height 18 cm.

A cylinder and cone are of same height and base radius. Find the ratio of their volume.

A metallic right circular cone 20cm high and whose vertical angle is 60^(@) is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into a wire of diameter 1/16 cm find the length of the wire.

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

If the height of a cone is equal to diameter of its base, then what is the volume of cone ?

Find the volume of the right circular cone with radius 6 cm, height 7 cm

Find the volume of the right circular cone with radius 3.5 cm, height 12 cm.

Find the volume of a right circular cone with radius 5 cm, height 7 c