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:
28.26ft^2
Step-by-step explanation:
The formula for area of circle is:
A=3,14*r^2, where r =3 and 3,14 is pie number, so we have
A=3.14*9=28,26
Answer:
$36.75
Step-by-step explanation:
The amount of interest payable is given by ...
I = Prt = $2100·0.07·(3/12) . . . . . . . . t is in years
I = $36.75
The bank earned $36.75 on the loan.
So 45% of 35 is 16.2 so subtract 16.2 from 36 and you get A 19.2
Answer:
1. Step 2: 2a-6+6 Step 3: 2a
2. Step 2: 8(2d+3)
Step by step explanation:
Here’s my work form what I seen: