Killakyle6677 Killakyle6677
  • 22-07-2022
  • Mathematics
contestada

The volume of a cylinder is 100. Another cylinder has twice the height but half the base radius. What is the volume of the second cylinder

Respuesta :

mhanifa
mhanifa mhanifa
  • 23-07-2022

Answer:

  • 50 units³

Step-by-step explanation:

Cylinder volume formula:

  • V = πr²h

Given:

The first cylinder, has base radius - r and height - h. Its volume is:

  • V₁ = πr²h = 100

The second cylinder has:

  • R = r/2 and H = 2h

Its volume is:

  • V₂ = πR²H = π(r/2)²*(2h) = πr²h/2 = V₁/2

Substitute the value of the first cylinder:

  • V₂ =  V₁/2 = 100/2 = 50
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