deekeels deekeels
  • 02-05-2022
  • Mathematics
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Find the volume of the cone shown as a decimal rounded to the tenth. 22m 12m

Find the volume of the cone shown as a decimal rounded to the tenth 22m 12m class=

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jimrgrant1 jimrgrant1
  • 02-05-2022

Answer:

b

Step-by-step explanation:

the volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius , h is the height )

here diameter = 12 , so r = 12 ÷ 2 = 6 and h = 22 , then

V = [tex]\frac{1}{3}[/tex]π × 6² × 22

   = [tex]\frac{1}{3}[/tex]π × 36 × 22

    = [tex]\frac{1}{3}[/tex]π × 792 ( cancel 3 and 792 by 3 )

    = π × 264

    ≈ 829.4 m³ ( to the nearest tenth )

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