Answer:
The volume of the cone is
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
In this problem we have that
so
-----> equation A
The volume of a cone with the same radius and height is equal to
-----> equation B
Substitute equation A in equation B
Answer:
X = 9 or 1/3
Step-by-step explanation:
Explanation given in attachment in order to well articulate the logarithm sign.
Note addition in logarithm means multiplication.
The logarithm of a number the same as the base is 1.
Given:
The equation of a line is
Line v passes through point (6,6) and it is perpendicular to the given line.
Line w passes through point (-6,10) and it is parallel to the line v.
To find:
The equation in slope intercept form of line w.
Solution:
Slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
So, slope of given line is .
Product of slopes of two perpendicular lines is -1.
Line w is perpendicular to the given line. So, the slope of line w is .
Slopes of parallel line are equal.
Line v is parallel to line w. So, slope of line v is also .
Slope of line v is and it passes thorugh (-6,10). So, the equation of line v is
where, m is slope.
Adding 10 on both sides, we get
Therefore the equation of line v is .