The volume of the cylinder in terms of π is 18,095.5736 square yards,
the volume of the cylinder by using π equals 3.14 is 18.086.4 square yards.
Step-by-step explanation:
Step 1; The volume of any cylinder is given by π times the product of the square of the radius (r²) and the height (h). The given cylinder has a radius of 12 yards and a height of 40 yards.
The volume of any cylinder = π × r² × h.
Step 2; The value of π equals 3.14159263588. So substituting this value in the equation to calculate the volume we get
The volume of the given cylinder = 3.14159263588 × 12² × 40 = 18,095.5736 square yards.
Step 3; If we substitute the value of π as 3.14 in the equation to calculate the volume, we get
The volume of the given cylinder = 3.14 × 12² × 40 = 18.086.4 square yards.
Pretty sure it’s b, good luck
First using the given two points we can find the slope (m) of the line
Thus the slope of given line is 1.
Using slope and a point (0,1) we can write the equation in point slope form as
y - 1= 1(x-0)
y - 1 = x
The above equation is the point-slope form of the equation.
X=9
Y=2 i think it’s the answer
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
