96 Percent, nice job man :D
Step-by-step explanation:
explained in the photo
Answer:
V = 25,061.4 m³ or
V= 4032π [2(1 + √126) - √505] m³
Step-by-step explanation:
Given y = 2016 + x²
Since the body is rotated along the y axis, we need to find the limits along y-axis corresponding to x =0 and x=2, we do this by substituting the values of x to obtain the y-values
So at x = 0, y = 4√126
at x = 2, y = 2√505
But V = ∫ πx²dy..............
So making x the subject we have:
x²= (2016-y)
Therefore V = ∫π(2016-y)dy, at y = 4√126 and 2√505
V = π[2016y- y²]
V = π[[2016(4√126) -(4√126)²-[2016(2√505)-(2√505)²]]
V = 2016π[ [(4√126)(1-4√126)] - [2√505(1-2√505)] ]
V = 2×2016π[ [2√126(1 - 4√126)] - [√505(1 - 2√505)] ]
V= 4032π [ 2√126 - 1008 - √505 +1010]
V= 4032π [2√126 - √505 +2]
V= 4032π [2(1 + √126) - √505]
Or
V = 12672(1.9777)
V= 25061.4 m³
Answer:
2 hours
Step-by-step explanation:
4 + 8 + 11 + 7 = 30
0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3
cancel from each side until you reach the middle
your answer should be 2