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:
Step-by-step explanation:
12 in = 1 ft
(4 in)/sec × (1 ft)/(12 in) = (4/12 ft)/sec = (⅓ ft)/sec
3x8+4 because 3 times so that is 3 x the sum of 8 and 4 so 8+4 together it would be 3x8+4
Answer:
4
Step-by-step explanation:
Set up ratios of corresponding sides. x+2 is to 6 as 2 is to 3:
Now cross multiply to get
3(x + 2) = 12 and
3x + 6 = 12 so
3x = 6 and
x = 2. That means that side AB, x + 2, is 2 + 2 which is 4
