Answer:
94.954 ft³
Step-by-step explanation:
The formula for the volume of a cone is V = (1/3)(base area)(height).
Here the circumference of the base is C = 2πr = 22.608 ft = 2(3.14)r, which enables us to find r:
r = (22.608 ft) / (6.28) = 3.6 ft
The formula for the volume of a cone is V = (1/3)(base area)(height).
Using the given data, we have The formula for the volume of a cone is V = (1/3)(πr²)(7 ft), or
V = (1/3)(3.14)(3.6²)(7 ft), or
= 94.954 ft³
Answer:
x=0 to 1
Step-by-step explanation:
By observation we look at the graph we see that between x=0 and 1; y has the largest slope value 2.
If we calculate the slope for x= 1 to 2 we have :
Slope = y2-y1/ x2-x1 = (3.5-2) / 2-1 = 1.5
Whereas that for x = 0 to 1,
Slope = y2-y1/ x2-x1 = (2-0) / 1-0= 2
Answer: "reduced by a factor of One-third."
Step-by-step explanation:
Suppose that the original magazine has a length L and a width W.
If it is photocopied using a scale factor of K, then the measures of the photocopy will be:
length = K*L
Width = K*W
In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:
length = (1/3)*L = L/3
Width = (1/3)*W = W/3
For usual notation:
When k > 1, we have an enlargement by a factor k
when 0 < k < 1, we have a reduction by a factor k
in this case, k = 1/3, then:
We have a reduction by a factor of 1/3
The correct option is:
"reduced by a factor of One-third."
Answer:
49 cubic feet
Step-by-step explanation:
Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
where 
, the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, 
For option B, 
For option C, 
For option D, 
Since, the equation is option A has smallest value of |p|, therefore, the equation 
represents the steepest parabola.
Hence, the correct option is A.
