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
The Answer Is 42.............................................
The point slope form of the equation is y-4 = 3/5 (x-2)
x = 3/2
Step-by-step explanation:
Given equation is:
As we have to solve for x, x will be isolated on one side of the equation
So,
<u>1. Addition property of equality </u>
4x will be added on both sides
<u>2. Division property of Equality</u>
Dividing both sides by 6
Hence,
x = 3/2
Keywords: Linear equation, Variables
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