Answer:

Step-by-step explanation:
Given

--- dilation ratio
See attachment
Required
Determine length, y
First, we calculate length R'T.
Since point T is the center of dilation, then:

Substitute known values


y is between R'T and RT;
So:



The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Step-by-step explanation:
The given is,
A cylinder and a cone have the same volume
Cylinder has a radius 2 inches and height of 3 inches.
Cone has a radius of 3 inches
Step:1
For Cylinder'
Formula to calculate the volume of cylinder is,
..................................................(1)
where,
r - 2 inches
h - 3 inches
From the equation (1)
=
×
× 3
= 37.70
V = 37.70 cubic inches
Step:2
For cone,
Formula to calculate the volume of cone is,
..................................................(2)
From the statement,
cylinder and a cone have the same volume
= 
37.70 =
×
× 
37.70 = 9.42478 × h
Height of the cone, h = 4 inches
Result:
Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Answer:

Step-by-step explanation:
We are give the following in the question:
Dimensions of rectangle:
Length , l =

Width of rectangle, w =

Area of rectangle = 125 square cm.
Area of rectangle =

Putting values, we get,

is the required equation.
1 feet = 0.3048 meters
So we do a unit conversion to cancel out the feet unit.
Look at my picture to see the work
Please let me know if this helped!