The ratio of their bases = 3√3 : 8
Step-by-step explanation:
Given,
The ratio of the volume of two cylinders is 27:64.
To find the ratio of the diameters of the cylinders of their base.
Formula
Let, the radius and height of a cylinder is r and h. The volume of the cylinder V = πr²h
Let,
Radius of cylinder 1 is R and the radius of the cylinder 2 is r.
The height of the both cylinder is h.
According to the problem,
πR²h= 27a and πr²h= 64a
So,
πR²h : πr²h = 27a:64a
or, R²:r² = 27:64
or, R:r = 3√3 : 8
Hence,
The ratio of their bases = 3√3 : 8
Answer:
(-5,3)
Step-by-step explanation:
<em><u>Method</u></em>
There are several ways you can do this, but one of the best ways is to use a graphing coordinate calendar. The most popular one is Desmos Graphing Calculator. I've attached an image of my work below using the system.
<u><em>Answer</em></u>
As you can see, both equations intersect at a certain coordinate point. This coordinate point is the point you need for the answer. The intersection is (-5,3).
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is
.
The given parameters:
- <em>Partition of the line segment = 5:6</em>
The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;
total segment = 5 + 6 = 11
The value of each partition on the directed line segment is calculated as follows;

The distance between point D and point E is calculated as follows;

The partition of the two points (D to E) is calculated as follows;

Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is
.
Learn more about partition of line segments here: brainly.com/question/4429522
<h2>Answer:</h2>
<u>In ΔQRS and ΔQLK</u>,
QR/QL = QS/QK
28/4 = 28/4
7/1 = 7/1 --[1]
<u>AngleLQK and AngleRQS are equal</u> (VOA)
<u>Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar</u>.
[A] ΔQRS ~ ΔQLK by SAS similarity.