ANSWER
A. 22 in
EXPLANATION
The volume of a cone is calculated using the formula:
It was given that: the volume is 2,279.64 in³
The height of the cylinder is also given as: h=18 in.
We substitute, the given values into the formula to get:
We take positive square root to get;
Therefore the diameter is 2(11) which is equal to 22 inches.
Answer:
The endpoints of the latus rectum are and
.
Step-by-step explanation:
A parabola with vertex at point and whose axis of symmetry is parallel to the y-axis is defined by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Distance from vertex to the focus.
,
- Coordinates of the vertex.
The coordinates of the focus are represented by:
(2)
The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that ,
and
, then the latus rectum is between the following endpoints:
By (2):
By (1):
There are two solutions:
Hence, the endpoints of the latus rectum are and
.
