Answer:
The volume of the cone is:
- <u>112.6 cubic inches.</u>
Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
- Cone volume = (1/3) PI * r ^ 2 * h
Where:
<em>r = radius.
</em>
<em>h = height.
</em>
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
- Circumference = PI * Diameter.
When clearing you get:
- Diameter = circumference / PI
By replacing the data you get:
- Diameter = 15 inches / PI
- Diameter = 4.77 inches.
Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
- Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
- Cone volume = 112.581541 in^3
- <u>Cone volume = 112.6 in^3</u>
The standard form of the equation of a circle is .
Solution:
Center of the circle = (6, 4)
Radius of the circle =
<u>To find the equation of the circle:</u>
General formula for the equation of a circle
where (h, k) is the center of the circle and r is the radius of the circle.
Here, h = 6, k = 4 and r =
Hence the standard form of the equation of a circle is .
Answer:
-216 has three real cube roots.
Step-by-step explanation:
Constant of proportionality?
I can find the rate of change
ok, so find first hose rate of change
gallons/minue=318/58=159gal/29min
y=159/29x for first hose
2nd hose
50% faster
times 3/2
477/58=2nd hose
constant of poroprotinality
y=kx
assuming y=amount and x is the time
add the rates
159/29+477/58=795/58=13.7
so the new one would be
y=13.7x
constant is 13.7
C