Math, asked by kapildahiyagmailcom, 9 months ago

how many balls can be made out of a cube of lead whose edge measures 11 cm each ball being 1cm in diameter​

Answers

Answered by Anonymous
1

Answer:

11 balls my dear friend

Step-by-step explanation:

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Answered by Anonymous
2

\bf{\underline{Question:-}}

how many balls can be made out of a cube of lead whose edge measures 11 cm each ball being 1cm in diameter.

\bf{\underline{Solution:-}}

  • Dimension of solid lead cube

◆ Edge of cube = 11cm

◆ Volume of cube = a³ = 11³ =

◆ Volume of cube (ᵛ1) = 11 × 11 × 11 = 1331 cm³

  • Dimensions of each spherical ball

◆ Diameter (d) = 1cm

◆ Radius (r ) = d/2 = 1/2 = 0.5 cm

  • Volume Of Each Spherical Ball (ᵛ2)= 4/3πr³

\rm → V_2= \frac{4}{3}×\frac{22}{7}×0.5^3

\rm → V_2=\frac{4}{3}×3.14×0.125

\rm → V_2 = 1.33 × 3.14 × 0.125

\rm → V_2= 0.5233

  • Number of spherical balled made by solid cube "x"

x = 1 / 2

X = 1331 ÷ 0.5233

x = 2544.933

\bf{\underline{Hence:-}}

  • 2545 balled were required approximately.

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