yayamarrie09
yayamarrie09 yayamarrie09
  • 29-03-2020
  • Mathematics
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Find the missing dimension of the cylinder. Round your answer to the nearest whole number.

Find the missing dimension of the cylinder Round your answer to the nearest whole number class=

Respuesta :

jimrgrant1 jimrgrant1
  • 29-03-2020

Answer:

r ≈ 50 cm

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here V = 600000 and h = 76, thus

πr² × 76 = 600000

76πr² = 600000 ( divide both sides by 76π )

r² = [tex]\frac{600000}{76\pi }[/tex] ( take the square root of both sides )

r = [tex]\sqrt{\frac{600000}{76\pi } }[/tex] ≈ 50 ( nearest whole number )

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