We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.
We know that height of sphere is equal to its radius. This means that 
.
Using , we will get:
Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is 
times volume of cylinder.
Therefore, the volume of the sphere would be 28 cubic meters.
Answer:
-243
Step-by-step explanation:
Answer:
D. reflection across a vertical line
Step-by-step explanation:
Reflection is basically a mirror image. Since you can see that the first triangle is flipped over to get the second one, this is a reflection.
It is not a vertical translation; this means that the triangle shifted up or down.
It is not a horizontal translation, this means that the triangle shifted left or right.
It is not a rotation about point A either, this would have meant that the triangle spun around.
Answers:
The coordinates of X are (-24,0)
The scale factor is 8/3.
------------------------------------------------------
To find the scale factor, you divide the y coordinates of the points Y and V
-8/(-3) = 8/3
Notice how multiplying the y coordinate of point V gets us to the y coordinate of point Y
-3*(8/3) = -24/3 = -8
Do the same for the x coordinate of point U
-9*(8/3) = -72/3 = -24
which is the x coordinate of point X
Answer:
The height of parallelogram is 51.87 cm
Step-by-step explanation:
Let The height of a parallelogram = a cm
Then
The base of a parallelogram = 3a cm
So by the given condition
3a×a = 897
3a^2 = 897
a^2 = 897/3
a^2 = 299
a = 17.29
So the height of parallelogram = 3×17.29= 51.87 cm
