Home
Class 8
MATHS
Find the slant height of the largest pos...

Find the slant height of the largest possible cone that can be inserted in a hemisphere of volume `144 pi cm^3`

A

`9sqrt(2)`cm

B

`12sqrt(2)`cm

C

`6sqrt(2)`cm

D

`7sqrt(2)`cm

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application (Level 2 )|22 Videos
  • MATRICS

    PEARSON IIT JEE FOUNDATION|Exercise Concept Application Level 2 |15 Videos
  • MOCK TEST PAPER

    PEARSON IIT JEE FOUNDATION|Exercise Questions|5 Videos

Similar Questions

Explore conceptually related problems

What is the volume of the largest cone that can be inscribed completely in a hollow hemisphere of radius 7 cm?

Find the radius of a hemisphere if its volume is 144picm^(3) .

Knowledge Check

  • The slant height of the cone is 17 cm and its radius is 8 cm. Find its height.

    A
    21 cm
    B
    15 cm
    C
    12 cm
    D
    14 cm
  • A largest possible cone is cut out from a cube of volume 1000cm^3 . The volume of the cone is :

    A
    `280 cm^3`
    B
    `261.9 cm^3`
    C
    `269.1 cm^3`
    D
    `296.1 cm^3`
  • Similar Questions

    Explore conceptually related problems

    Find the height of largest right circular cone that can be cut out of a cube whose volume is 729 cm^3

    The radius and slant height of a right circular cone are 5 cm and 13 cm respectively. What is the volume of the cone ?

    The height and the slant height of a cone are 21 cm and 28 cm respectively. Find the volume of the cone.

    The height and the slant height of a cone are 21cm and 28cm respectively.Find the volume of the cone

    The height and slant height of a cone are 12 cm and 13 cm respectively. Find its volume.

    The slant height of a right circular cone is 3cm. The height of the cone if its volume is greatest is equal to