Home
Class 10
MATHS
The largest sphere that can be carved ou...

The largest sphere that can be carved out of a cube of side 7 inches will have its diameter

A

7 inches

B

3.5 inches

C

10 inches

D

14 inches

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -VERY-SHORT ANSWER [VSA] QUESTIONS|17 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise ZEE ADDITIONAL QUESTIONS -SHORT ANSWER [SA] TYPE-1 QUESTIONS|16 Videos
  • SURFACE AREAS AND VOLUMES

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (EXERCISE 15.5)|7 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

The largest sphere is carved out of a cube of side 7 cm. Find the volume of the sphere.

The largest possible sphere is carved out from a wooden cube of side 7 cm. find the volume of the wood left.

Knowledge Check

  • The percentage increase in the volume of the cube when its side increases 1/4 % is

    A
    0.25
    B
    0.5
    C
    0.75
    D
    1
  • The insulation property of air, breaks at E = 3 × 10^(6) volt per metre. The maximum charge that can be given to a sphere of diameter 5 meter is approximately (in coulomb) :

    A
    `2xx10^(-2)`
    B
    `2xx10^(-3)`
    C
    `2xx10^(-4)`
    D
    `2xx10^(-5)`
  • Similar Questions

    Explore conceptually related problems

    The largest cone is carved out of a solid cube of side 21 cm. find the volume of the remaining solid.

    Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm.

    Find the maximum valume of a cone that can be carved out of a solid hemisphere of radius 21 cm .

    Find the volume of the largest right circukar cone that can be cut of cube of edge 7 cm .

    Determine the ratio of volume of a cube and a right circular cone that can be fit into the cube whose side is alpha units.

    How many spherical balls can be made out of a solid cube of lead whose edge measures 44 cm and each ball being 4 cm in diameter.