A barrel shaped like a cylinder is laid on its side and rolled up a ramp. The barrel has a circular base that is
0.9m
in diameter. If the barrel turns
37
times in being rolled up the ramp, how long is the ramp?
Use the value
3.14
for
π
. Round your answer to the nearest tenth. Do not round any intermediate steps.
one roll = .9π
37 rolls = 37(.9)π
= 104.6 m
A barrel is rolled up a ramp on its side the side of the barrels bottom has a diameter of 1.1m if the barrel turns 38 times how long is the ramp
Why did the barrel decide to take up a career in rolling up ramps? Because it wanted to fulfill its dream of becoming a "barrel-roll" model! Sorry, I couldn't resist. Let's solve your problem, shall we?
To find the length of the ramp, we need to determine the circumference of the barrel's circular base. The diameter of the base is given as 0.9m, so the radius (r) can be calculated by dividing the diameter by 2:
r = 0.9m / 2 = 0.45m
The circumference (C) of the circle is given by the formula:
C = 2πr
Substituting the values:
C = 2 * 3.14 * 0.45m
C ≈ 2.83m
Now, we know that the barrel turns 37 times while being rolled up the ramp. Each turn corresponds to one circumference of the barrel, so the total length of the ramp is equal to:
Ramp length = 37 * C
Ramp length ≈ 37 * 2.83m
Ramp length ≈ 104.71m
So, the length of the ramp is approximately 104.71 meters. Keep rolling with those math problems!
To determine the length of the ramp, we need to find the circumference of the circular base of the barrel.
First, we need to find the radius of the circular base. The diameter is given as 0.9m, so the radius can be calculated by dividing the diameter by 2:
Radius = Diameter / 2 = 0.9m / 2 = 0.45m
Next, we need to determine the circumference of the circular base using the formula:
Circumference = 2 * π * Radius
Now, we can plug in the values we have:
Circumference = 2 * 3.14 * 0.45m ≈ 2.83m
Since the barrel rolls up the ramp 37 times, the length of the ramp is equal to 37 times the circumference of the base:
Length of Ramp = Circumference * 37 = 2.83m * 37
Multiplying these values gives us the length of the ramp:
Length of Ramp ≈ 104.71m
Rounding to the nearest tenth, the length of the ramp is approximately 104.7m.