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My math homework in khan due at 11 pm

My math homework in khan due at 11 pm-example-1
User Nilesh Pawar
by
2.6k points

2 Answers

27 votes
27 votes

We are given with a sphere whose radius is 7 units and we need to find the volume of the sphere , but before starting let's recall that ;


  • {\boxed{\bf{Volume_((Sphere))=(4)/(3)\pi r^(3)}}}

Where r is the radius of the sphere . So , now in this question applying the same concept we have ;


{:\implies \quad \sf Volume_((Sphere))=(4)/(3)\pi (7)^(3)}


{:\implies \quad \sf Volume_((Sphere))=(4)/(3)\pi * 343}


{:\implies \quad \bf \therefore \quad \underline{\underline{Volume_((Sphere))=(1372\pi)/(3)\:\: units^(3)}}}

User Nilesh Gajare
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2.9k points
22 votes
22 votes

Given :-

  • figure is a sphere
  • π = 3.14
  • Radius = 7 (unit)
  • answer should be in unit³


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To find :-

  • As we know answer should have unit³ so we get to know we have to find volume of sphere.


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Solution :-

we know:


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\bigstar \boxed{ \rm Volume \: of \: sphere = (4)/(3)\pi {r}^(3) }


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So:-


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\dashrightarrow \sf Volume \: of \: sphere = (4)/(3)\pi {r}^(3) \\


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\dashrightarrow \sf Volume \: of \: sphere = (4)/(3)\pi * {7}^(3) \\


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\dashrightarrow \sf Volume \: of \: sphere = (4)/(3)\pi * {7} * 7 * 7 \\


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\dashrightarrow \sf Volume \: of \: sphere = (4)/(3)\pi * 343 \\


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\dashrightarrow \sf Volume \: of \: sphere = (4)/(3) * 3.14* 343 \\


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\dashrightarrow \sf Volume \: of \: sphere = (4)/(3) * 1077.02 \\


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\dashrightarrow \sf Volume \: of \: sphere = (4 *1077.02 )/(3) \\


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\dashrightarrow \sf Volume \: of \: sphere = (4308.08)/(3) \\


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\dashrightarrow \pmb{\sf Volume \: of \: sphere =1436.03(approx)} \\


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User Thomas Leu
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2.5k points