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
6/x= -2/18
Cross multiply. ( Multiply the numerators together ) . ( Multiply the denominators together (.
6*18= - 2*x
108= -2x
Divide by -2 for 108 and -2x
108/-2= -2x/2
x= -54
Answer: x= -54
Answer:
the slope that is perpendicular to line y=-7x-12 is 1/7
1/7 is the perpendicular slope
Step-by-step explanation:
Answer:
-12 and 1
Step-by-step explanation:
If you multiply 12 by 1 you get 12, hence if you add -12 and 1 now you will get -11
<span>16=4²
25=5²
</span>So that means the square root of 22 is between 4 and 5.
Square 4.5
4.5² = 20.25
<span>4.5 < √22 < 5
So the nearest whole number would be 5.
</span>
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