longoriamariah5020 longoriamariah5020
  • 18-04-2018
  • Mathematics
contestada

Find the volume of the solid obtained by rotating the region bounded by y = 8 x 2 , x = 1 , and y = 0 , about the x -axis.

Respuesta :

JцstinBieber
JцstinBieber JцstinBieber
  • 22-04-2018
A cross-section is a disc with radius [tex]8x^2[/tex]

[tex]V = \int_0^1 A(x)\, dx = \int_0^1 \pi\left(8x^2\right)^2 dx = \int_0^1 64 \pi x^4 = \left[\frac{64\pi}{5} x^5\right]_0^1 \\ \\ = \frac{64\pi}{5} [/tex]
Answer Link

Otras preguntas

(4a-5)+(3a+6) Adding polynomials
if 10+3x-7x=6 what does x equal
who over threw the nobles with the support of common people
What is .725 as a fraction
(4a-5)+(3a+6) Adding polynomials
Estimate 49% of 162. Use mental math to calculate 49% of 162. ???
What is .725 as a fraction
What is the essence of philosophical ethics
if 10+3x-7x=6 what does x equal
What were the positive and negative effects of Egypt being imperialized by Britain.