Answer:
The height of the cone h = 27(x^4)y
Step-by-step explanation:
Firstly, we calculate the volume of the cylinder.
Mathematically, the volume of the cylinder is pi * r^2 * h
using the radius x and height y
The volume V of the cylinder is ;
V = pi * x^2 * y
Now we know they have the same volume V, the formula for the volume of a cone is ;
1/3 * pi * r^2 * h
Substituting the values of r to be 1/3x and the height which is not given here left as h, we have the volume of the cone to be;
V = 1/3 * pi * (1/3x)^2 * h = pi * x^2 * y
The pi gives way as it cancels out on both sides and we have the following;
h/27x^2 = x^2y
Mathematically h = x^2 * y * 27x^2
h = 27(x^4)y
p.s: I personally feel the radius of the cone was to be given as x/3 and not 1/3x . It is in that way we can have the height of the cone purely in y terms and no x
Answer: 3/14
Step-by-step explanation:
3 * 2 = 6
4 * 7 = 28
6/28 = 3/14
The graph of the equation y = m^x passes through the point (1, m)
<h3>Equation of a graph</h3>
Given the equation of a graph expressed as y = m^x
We need to determine the coordinate point that lies on this graph.
If x = 1, substitute into the formula to have:
y =m^1
y = m
Hence the required coordinate will be (1, m)
Learn more on equation of graph here: brainly.com/question/24894997
72 is multiples of 3,9, and 12
I think he would expect $60,000
I hope thats right,
QueenBeauty666
