Home
Class 9
MATHS
Three identical spherical balls fit snug...

Three identical spherical balls fit snugly into a cylindrical can. The radius of each of the spherical ball equals the radius of the can and the balls just touch the bottom and the top of the can. What fraction of the volume of the can is taken up by the balls?

A

`3/5`

B

`4/3`

C

`3/2`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • IMO QUESTION PAPER 2018 SET A

    SCIENCE OLYMPIAD FOUNDATION |Exercise EVERYDAY MATHEMATICS|10 Videos
  • IMO QUESTION PAPER 2018 SET A

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION|5 Videos
  • IMO QUESTION PAPER 2017 SET B

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION|5 Videos
  • IMO QUESTION PAPER 2018 SET B

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section |5 Videos

Similar Questions

Explore conceptually related problems

Three metallic spherical balls of radii 3 cm, 4 cm and 5 cm are melted and recast into a big spherical ball. Find the radius of this big ball.

A cylindrical box of radius 5 cm contains 10 solid spherical balls, each of radius 5 cm. If the top most ball touches the upper cover of the box, then volume of the empty space in the box is

N solid metalic spherical balls are melted and reast into a cylindrical rod whose radius is 3 times that of a spherical ball and height is 4 times the radius of a spherical ball. The value of N is

A cylindrical rod of iron whose radius is one-fourth of its height is melted and cast into spherical balls of the same radius as that of the cylinder. What is the number of spherical balls ?

A spherical ball of lead 6 cm in radius is melted and recast into three spherical balls. The radii of two of these balls are 3cm and 4 cm. What is the radius of the third sphere ?

The diameter of hollow cone is equal to the diameter of a spherical ball. If the ball is placed at the base of the cone, what portion of the ball will be outside the cone –

A spherical ball of lead has been melted and meade in to smaller balls of half the radius of the original one. How many balls can be made?

A spherical metal ball of radius 8 cm is melted to make 8 smaller identical balls. The radius of each new ball is cm.

There are two identical spherical balls of same material one being solid and the other being hollow. Then they can be distinguished by