Math, asked by Asitava, 2 days ago

What will be the mass of a metal sphere of radius 3 cm if its density is 7 g/ cm³​

Answers

Answered by Vespine
21

Given :-

  • radius = 3 cm
  • density = 7 g/ cm³

To Prove:-

  • mass of a metal sphere

Formula :-

 \bigstar \:  \frak{ \orange{V = \dfrac{4}{3}×\pi×r^3}} \\  \\ \bigstar \:  \frak{ \purple{Density =\dfrac{mass}{volume}}}

Solution :-

 \bigstar \:  \rm{{V = \dfrac{4}{3}×\pi×r^3}} \\  \\  ⇝\rm{V = \dfrac{4}{3}×\dfrac{22}{7}×r^3 }\\  \\ ⇝ \rm{V = \dfrac{4}{ \cancel3}×\dfrac{22}{7}×3 \times 3 \times  \cancel3} \\  \\  ⇝\boxed{\tt {\blue{V = 4 \times \dfrac{22}{7}×3 \times 3}}}

━━━━━━━━━━━━━━━━━━━━━━━━━━━

\bigstar \:  \rm{{Density =\dfrac{mass}{volume}}} \\  \\ ⇝ \rm{ \cancel7 \times 4 \times  \frac{22}{ \cancel7}  \times 3 \times 3 = mass} \\  \\  ⇝\rm{88 \times 9 = mass} \\  \\⇝\boxed{ \underline{\tt{ \red{mass  = 792g}}}} \:  \:\bigstar

Similar questions