The correct answers are: B, and D.
Reason:
B.
18 / 4.5 = 4
6 / 1.5 = 4
D.
40 / 8 = 5
15 / 3 = 5
Since they both equal the same, they would be similar polygons for the rectangles.
Hope this helps!
<em>~ ShadowXReaper069</em>
1-r=-5
add r to both sides so the one side cancels out, then it should be 1=r-5
then you add -5 on each sides (because what you do to one side you must do to the other) and it would then have r on its own side which would give you your answer of r=6. To check 1-6 does equal -5
The volume of a cylinder is the area of the base, times the height.
<span>The area of the circular base is, of course, π times the square of its radius. </span>
<span>So the volume of a cylinder, V, is </span>
<span>V = π h r^2 </span>
<span>where h is the height and r is the radius. </span>
<span>If we multiply the height by 3, the new height is 3h. </span>
<span>If we multiply the width by 3, that multiplies the radius (which is half the width) by 3 also. </span>
<span>So the new volume would be </span>
<span>π (3h) (3r)^2 = π (3h) (9r^2) = 27π h r^2 </span>
<span>which is 27 times π h r^2, the volume of the smaller pool. But we know that volume is 37 cubic feet. </span>
<span>So the volume of the larger pool is </span>
<span>27 * 37 cubic feet = 999 cubic feet [answer B] </span>
<span>This is an instance of a general rule: </span>
<span>If we multiply ALL the linear dimensions of an object by a factor F, </span>
<span>while keeping the shape the same (often termed "similar" in geometry), </span>
<span>that multiplies the volume by F^3 (the cube of F). </span>
<span>It also multiplies the surface area by F^2. </span>
<span>These rules are very useful, especially when you hit these questions on an exam under time constraints. If you know them, you'll save time you can use to work other questions.</span>
