The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
<h3>What is cylinder?</h3>
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Given that,
Radius of pipe a is 6 cm, and the radius of pipe b is 2 cm.
We know that the volume of cylinder is :- 
where r is radius and h is height of the cylinder.
If two figures are similar then ratio of volume is equal to the cube of any dimension.
The ratio of the volume of Pipe a to the volume of Pipe b :-

= 
Hence, The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
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Answer:

Step-by-step explanation:
To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.
Area of the square.
To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

Where "a" is the length of one of its side.
The side length of the square is a=7cm, so its area will be:

Area of the triangles.
The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.
To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

B. 1 angle A congruent angle B
2. Corresponding parts of similar triangle
Answer:
x=16; y=24
Step-by-step explanation:
for (x,23), 23=0.5x+15
x=16
for (18xy), y=0.5*18+15=24
Answer:
<u>58 units</u>
Step-by-step explanation:
I decided that one side is 37 units and another is 2 units, since that would make the area 37 units. (you can also use 74 units and 1 unit)
Then I multiplied 37 by 5/4, which equals a new length of 46.25 units, and I also multiplied 2 by 5/4, which equals a new length of 2.5 units.
Finally, I solve for the area of the triangle:
1/2(46.25 x 2.5) ≈ <u>58 units</u> (rounded to the nearest whole number)