Answer:
A. 16.8 in³
B. 28.3 m³
C. 65.4 in³
Step-by-step explanation:
The volume of a cone is given as:
V = ⅓ * pi * r² * h
Where r = radius of base of cone
h = height of cone
A. Radius = 2 inches, height = 4 inches
It's volume is:
V = ⅓ * pi * 2² * 4
V = 16.8 in³
B. Diameter of 6 m, and a height of 3 m
It's diameter is 6 m, therefore, it's radius is:
r = d / 2 = 6 / 2 = 3 m
It's volume is:
V = ⅓ * pi * 3² * 3
V = 28.3 m³
C. Diameter of 5 in, and a height of 10 in
It's diameter is 5 in, therefore, it's radius is:
r = d / 2 = 5 / 2 = 2.5 m
It's volume is:
V = ⅓ * pi * 2.5² * 10
V = 65.4 in³
In a parallelogram opposite sides are equal and parallel;
Therefore, in this case, AB is equal and parallel to CD, thus, the magnitude of AB is equal to the magnitude of CD
The line BC is equal to line AD and the two lines are parallel to y-axis;
Since; AB = B - A = (0,4) - (-3,2)= (2,3)
Assuming the coordinates of D is (x,y) DC= (4-y), (3-x) = (2,3)
Hence; y = 2 and x = 0
Thus; the coordinates of D are (0,2)
Answer:
b
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.