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
2/12 and 9/12 is right. 4/24 and 18/24 is right. So, answers A and D are right
Answer:
The answer is 5.
Step-by-step explanation:
It's the only one that makes sense, and i took the quiz and got 100%
You're welcome :D
Answer: 1/3
Explanation: Zach does 1/6 in 30 minutes (1/2 an hour), in an hour Zach can complete 2/6 of his homework. Simplify to 1/3.
Answer:
The fourth option.
Step-by-step explanation:
In the given equation x^2 + 4x + 9 = 0, a=1, b=4, and c=9. The quadratic formula is in the attachment below so if you plug in a, b, and c you get the fourth option.