To calculate the volume of a cylindrical water tank, you can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Where:
- π (pi) is approximately 3.14159
- r is the radius of the cylinder
- h is the height of the cylinder
In this case, the radius (r) is 3 yards, and the height (h) is 7.5 yards. Plug these values into the formula:
Volume = π * (3 yards)^2 * 7.5 yards
Volume ≈ 3.14159 * (9 square yards) * 7.5 yards
Now, calculate the volume:
Volume ≈ 3.14159 * 67.5 cubic yards
Volume ≈ 212.05325 cubic yards
So, the volume of the cylindrical water tank is approximately 212.05 cubic yards.
B. Determine the total distance traveled.
Answer:
A) The average speed for the trip is .
B) The total distance traveled is .
Explanation:
Knowing that 1 hour has 60 minutes, we have that for each part of the trip:
Total distance traveled
The distance traveled is the speed multiplied by a period of time. The total distance traveled is calculated adding up the speeds multiplied by the given periods of time.
B) The total distance traveled is .
Average speed
The average speed could be calculated using the total distance traveled divided by the total time . We need to take into account the time spent eating lunch and buying gas.
A) The average speed for the trip is .
Explanation:
We are given this equation and we need to find the value of :
(1)
Firstly, we have to clear :
(2)
Applying Natural Logarithm on both sides of the equation (2):
(3)
(4)
According to the Natural Logarithm rules, so (4) can be written as:
(5)
Finally: