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:
y = 6x - 40
Step-by-step explanation:
Where is the table how are u supposed to answer
72000/12=6000 12 pools of equal volume, both start and end are in gallons so it's just basic division.
Answer:
The fractions 
are not in order from least to greatest.
Step-by-step explanation:
Given order of fractions from least to greatest:
To check if the fractions are in correct order.
Solution:
The fractions given have same numerators but different denominators.
For fractions the higher the denominator the lower is the value of that fraction.
Thus, in the given list the least value fraction will be the fraction with the greatest denominator which is 
and the greatest value fraction will be the fraction with the least denominator which is 
So, the order of the fractions from least to greatest is not correct. Instead the order is from greatest to least.
The correct order from least to greatest should be:
.
