Answer:
y = ax + b
This line passes (0,0) => b = 0
This line passes (10,60) = > 10a =60 => a = 6
=> y = 6x
Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
Answer:
0.5×2/2=1/2 is the required fraction.
Given:
Radius of a cylinder = 5 units.
Surface area of the cylinder = 
To find:
The height of the right cylinder.
Solution:
Surface area of a cylinder is:
Where, r is radius and h is the height of the cylinder.
Putting 
in the above formula, we get
Subtract 
from both sides.
Divide both sides by 
.
Therefore, the height of the cylinder is 11 units.
