Answer:
W = 21.44*10⁶J
Step-by-step explanation:
Given
y = x² (0 < x < 4)
γ = 10000 N/m³
W = ?
If we apply
y = 4² = 16 = h
y = x² ⇒ x = √y
then
V = π*(√y)²*dy = π*y*dy
W = (γ*V) *(16-y) = γ*π*y*dy*(16-y)
⇒ W = γ*π*∫y*(16-y)dy = γ*π*(8y²-(y³/3))
finally we obtain (0 < y < 16)
W = γ*π*(8y²-(y³/3)) = 10000*π*(8*16²-(16³/3)) = 21.44*10⁶J
The lateral area is the area around, the bases are the circles so the lateral area is the area of the rectangle
we just need the legnth of the rectangle which is the circumfernece of the circle
C=pid
d=12
C=12pi
area=lw
aera=12pi*15
area=180pi yd^2
Z=60
because
z/-12 = -5
z= (-5)(-12)
z= 60
Answer: 54
Step-by-step explanation: If the ball bounces 3 times at first that would be 9 x 3 which equals 27. But if you bounce it 6 times, that would be 9 x 6 which equals 54. :)
Answer:
2:3
Step-by-step explanation:
16/24=1/3
Hope this helps you!!!!!!!! :D
