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Ganezh [65]
2 years ago
9

Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. X = 5 sqrt( y) text(, ) x = 0 t

ext(, ) y = 4 Find the volume V of this solid. V
Mathematics
1 answer:
kkurt [141]2 years ago
6 0

Answer:

V = 200 π

Step-by-step explanation:

x = 5√y ,   x = 0 ,   y = 4

<u>Determine the volume of the solid V</u>

when x = 0  y = 0

we can calculate the volume of the solid by applying the washer method

V = π ₀⁴∫ [ 0 + ( 5√y )^2 ]  dy

   = π ₀⁴∫ [ 0 + ( 25(y) ) ]  dy

V  = π [ 0 + 25/2 ( y^2 ) ] ⁴₀

V = π [ 25/2 ( 16 ) ]

  = 200 π

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