Answer:
radius r = 5 ft r=d/2
height h = 3 ft
volume V = 235.619449 ft3³ or 235.36 A is your answer.
lateral surface area L = 94.2477796 ft²
top surface area T = 78.5398163 ft²
base surface area B = 78.5398163 ft²
total surface area A = 251.327412 ft²
In Terms of Pi π
volume V = 75 π ft³
lateral surface area L = 30 π ft²
top surface area T = 25 π ft²
base surface area B = 25 π ft²
total surface area A = 80 π ft²
Step-by-step explanation:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
Agenfa: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
We are given the angle measure, measure of hypotenuse and we are to find the base(Adjacent) side of the angle.
Cosine relates all these three as:
Rounded to nearest hundredth, the measure of side adjacent to the angle is 1.88
Answer:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.
Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is
9/3 = 27/9 = 3
Therefore, the relationship is a direct variation and the function to model it is
y = 3x
Step-by-step explanation:
Answer:
28 inches
Step-by-step explanation:
CA must be in the range [15 - 9, 15 + 9] = [6, 24]
For the line segments to form a triangle the length of CA cannot be less the the difference between the other sides or greater than their sum.
At either extreme the three points A, B and C will be co-linear thus forming a triangle with area of zero