Home
Class 9
MATHS
A solid sphere of radius 3cm is melted a...

A solid sphere of radius 3cm is melted and then cast into small sphereical balls each of diameter 0.6 cm. Find the number of balls thus obtained.

Text Solution

Verified by Experts

`r_B=3cm`
`r_s=0.6/2=-0.3`
`V_B=V_S`
Volume of sphere`=4/3pir^3`
`4/3pi3^3=n*4/3*pi*0.3^3`
`27=n(3/10)^3`
`n=1000`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE

    RD SHARMA|Exercise All Questions|128 Videos

  • TABULAR REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

A solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6 cm. Find the number of balls.

A solid sphere of radius 3cm is melted and then cast into small spherical balls each of diameter 0.6cm. Find the number of balls thus obtained.

Knowledge Check

  • A metallic sphere of radius 4 cm is melted and the cast into small spherical balls, each of diameter 0.4 cm. The number of small balls will be:

    A
    1000
    B
    8000
    C
    4000
    D
    2000

  • A solid metal ball of radius 8 cm is melted and cast into smaller balls, each of radius 2 cm. The number of such balls is

    A
    8
    B
    16
    C
    32
    D
    64

    • Similar Questions

    Explore conceptually related problems

    A solid sphere of radius 3 cm is melted and then cast into smaller spherical balls, each of diameter 0.6 cm. Find the number of small balls thus obtained.

    A solid metallic sphere of radius 8cm is melted and recast into spherical balls each of radius 2cm. The number of spherical balls, thus obtained,is (a) 16 (b) 48 (c) 64quad (d) 82

    A solid hemisphere of radius 8cm is melted and recast into x sphere of radius 2cm each. Find x

    A solid sphere of radius 10.5cm is melted and recast into smaller solid cones,each of radius 3.5cm and height 3cm. Find the number of cones so formed.(Use pi=(22)/(7))

    A solid sphere of radius 10.5 cm is melted and recast into smaller solid cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.

    A solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls thus formed.

    Home
    Profile