August4979 August4979
  • 14-01-2019
  • Mathematics
contestada

A cylinder has a radius of 2x^2y and a ehight of 3x^3 what is the volume of the cylinder in terms of pi

Respuesta :

jimrgrant1 jimrgrant1
  • 14-01-2019

Answer:

see explanation

Step-by-step explanation:

the volume (V) of a cylinder is calculated using the formula

V = area of base × height

here the base is a circle with radius r = 2x²y

area of base = πr² = π × (2x²y)² = π × 4[tex]x^{4}[/tex]y² = 4[tex]x^{4}[/tex]y²π

V = 4[tex]x^{4}[/tex]y²π × 3x³

  = 12[tex]x^{7}[/tex]y²π



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