While driving to the school, I was 20 miles from the school at 7:00. By 7:15, I was 8 miles away from the school. What was my ra
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4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5 per minute.
Step-by-step explanation:
The given is,
Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.
Oil drained at a rate of 2.5 per minute.
Step:1
Time taken to dry the oil tank is,
T = ....................................(1)
Step:2
Volume of the oil is,
.................................................(2)
Where, r - Radius of Cylinder
r = 1.1 ft
From eqn (1),
V = ×
× 3
= 11.40398
Step:3
From equation (1)
=
= 4.56
= 4.56 minutes
T = 4 minutes 34 seconds
Result:
Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.
Split up the interval [0, 3] into 6 subintervals,
[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]
The right endpoints are given by the arithmetic sequence,
with .
We approximate the integral of on the interval [0, 3] by the Riemann sum,
Recall the formulas,
Then the value of the integral is approximately
Compare to the exact value of the integral, -9.