Step-by-step explanation:
Answer:
top right.
Step-by-step explanation:
Answer: 586.59 cubic centimeters .
Step-by-step explanation:
As per given . we have
Inner diameter = 1.8 inches
⇒Inner radius :r = 0.9 in. (radius is half of diameter)
= 0.9 x (2.54) = 2.286 cm [∵ 1 in . = 2.54 cm]
Outer diameter = 2 inches
⇒Outer radius : R = 1 inch = 2.54 cm
Height : h = 5 feet = 5 x(30.48) = 152.4 cm [∵ 1 foot = 30.48 cm]
The formula to find the volume of a hollow cylinder :
, where R= outer radius , r= inner radius and h= height.
Now , the volume of metal in the conduit :
Hence, the volume of metal in the conduit is 586.59 cubic centimeters .
Answer:
Step-by-step explanation:
For these we always want to see how much each term is decreasing by, this will tell us what kind of series it is.
-40, -47, -54, -61
Each time it DECREASES by -7, so it is an arithmetic sequence
The explicit form is found with two parts. the start and how much each term changes by. The start is -40 and the change is -7, so the explicit formula is -40 - 7(n-1). This is assuming the first term is a_1. If you are starting with a_0 instead you want to make (n-1) be n. so if a_0 = -40 then you have -40 - 7n but if -40 = a_1 then you have -40 - 7(n-1)
the next one has a "common difference" of 30. so now if -8 is a_0 you have -8 + 30n but if -8 is a_1 then you have -8 + 30(n-1)
The work done by the gas when the gas expands will be 878.89 ft-lb.
<h3>What is the work done for an isothermal process?</h3>
The Pressure is inversely proportional to the volume.
Let the initial pressure and initial volume be P₁ and V₁, and the final volume be V₂.
Then the work done by the gas will be
WD = P₁ V₁ ln (V₂ / V₁)
A quantity of the gas with an initial volume of 1 cubic foot and an initial pressure of 400 pounds per square foot.
The gas expands to a volume of 9 cubic feet.
Then the work done by the gas will be
WD = 400 x 1 x ln (9/1)
WD = 400 x 2.197
WD = 878.89 ft-lb
The work done by the gas when the gas expands will be 878.89 ft-lb.
More about the work done for the isothermal process link is given below.
brainly.com/question/4218306
#SPJ1
