1. First, let us write out the formula for the volume of a cylinder:
V = πr^(2)h
Now, given that the cylinder has a volume of 321 cubic units, we can rewrite the above formula with this new information:
321 = πr^(2)h
2. The volume of a cone is given by the following formula:
V = (1/3)πr^(2)h
Now, we can substitute 321 = πr^(2)h into the formula above to find the volume of the cone (this will work as the cone and cylinder have the exact same radius and height). Thus we get:
V = (1/3)πr^(2)h
V = (1/3)*321
= 107 cubic units
Note that there is another method that is perhaps more intuitive and can be used quite effectively in multiple choice questions, where working isn't required. What you should notice from the general formulas for the volume of a cone and a cylinder is that the volume of a cone is actually 1/3 of the volume of a cylinder (given that they have the same radius and height). Thus, if we know that the cone in our situation has the exact same radius and height as the cylinder, we can use this method as such:
Volume of cone = (1/3)*Volume of cylinder
Volume of cone = (1/3)*321
= 107 cubic units
The correct options regarding the circle with endpoints of the longest chord at (4, 5.5) and (4, 10.5) are:
- The radius is of 2.5 units.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center 
and radius r is given by:
The center is the <u>midpoint of the chords</u>, hence:
.
.
The radius is half the distance between the chords, hence:
.
Hence the equation is:
More can be learned about the equation of a circle at brainly.com/question/24307696
#SPJ1
Simplify the Value of:
6x + 1 The equation is already simplified, There are no like terms.
You cannot factor 6x + 1 either
Domain of:
6x + 1
Solution: [ - ∞ < x < ∞ ]
Interval Notation: [ (- ∞, ∞) ]
Range of:
6x + 1
Solution: [ - ∞ < f(x) < ∞ ]
Interval Notation: [ (- ∞, ∞) ]
Parity of:
6x + 1 =====> Neither even nor odd
Axis interception points of:
6x + 1
x- Intercepts ( - 1 / 6, 0 )
y- Intercepts ( 0, 1 )
Inverse of:
6x + 1 =====> x - 1 / 6
Slope of:
6x + 1
Answer: ======> m = 6
Hope that helps!!!!!!!!!! : )
Answer: Option A, B, E are correct.
A. 8^x •8^x = 64^x
B. 8^2x = 64^x
C. 8•8^2x = 8^{1 + 2x}
D.8^2•8^x = 8^{2 + x}
E. (8•8)^x = 64^x
F. 8•8^x = 8^{1 + x}
Ur answer is 27
do u get it?
