Home
Class 9
MATHS
A spherical ball of lead 3cm in diameter...

A spherical ball of lead 3cm in diameter is melted and recast into three spherical balls. If the diameters of two balls be `3/2c m` and 2cm, find the diameter of the third ball.

Text Solution

AI Generated Solution

To find the diameter of the third spherical ball, we can follow these steps: ### Step 1: Calculate the radius of the original ball The diameter of the original ball is given as 3 cm. The radius (R) is half of the diameter. \[ R = \frac{3 \text{ cm}}{2} = 1.5 \text{ cm} \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA ENGLISH|Exercise All Questions|129 Videos
  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA ENGLISH|Exercise All Questions|70 Videos

Similar Questions

Explore conceptually related problems

A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of the balls are 1.5 cm and 2 cm. Find the diameter of the third ball.

The radius of a spherical ball of iron is 1.5 cm. It is melted and recast into three spherical balls. If the radii of two such balls are 0.75 cm and 1 cm, then find the radius of 3rd ball.

The radius of a sphericla ball of iron is 1.5 cm .It is melted and recast into three sperical balls .If the radii of two such balls are 0.75 cm and 1 cm , then find the radius of 3rd ball .

A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of the two of the balls are 1.5 cm and 2 cm respectively. Determine the diameter of the third ball.

A solid spherical ball of iron with radius 6 cm is melted and recast into three solid spherical balls. The radii of the two balls are 3 cm and 4 cm respectively, determine the diameter of the third ball.

A solid spherical ball of iron with radius 6 cm is melted and recase tin to three solid spherical balls . The radii of the two of the balls are 3 cm and 4 cm respectively determine the diameter of the third ball.

A solid spherical ball of radius 6 cm is melted and recast into 64 identical spherical marbles. Find the radius of each marble.

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

(a) Three metallic spherical balls of radii 3 cm , 4cm and 5 cm are melted and reacast in to a big spherical ball find the radius of this big ball. (b) Three metallic spheres are melted and recast in to a big solid sphere.Find the radius of big solid sphere if the diameter of three metalic sphres are 16 cm . 12 cm and 2 cm.