Answer:
The volume of a sphere is 2/3 times the volume of a similar cylinder
Scale factor : 2/3
Step-by-step explanation:
Let us consider a sphere of radius r. The volume of the sphere will be given as
Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:
but h = 2r
Hence we have
We can divide the two volumes to get a constant that links them together
this will give us 2/3
Hence the scale factor for Vol sphere: Vol cylinder is 2/3
Answer:
234567
Step-by-step explanation:
Answer:
Step-by-step explanation:
To solve this, all we need to do is draw a triangle.
From the 
we can deduce that 
From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is 
Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse
This gives us the value of which is our answer.
Answer:
If the child is currently 6 years old and the mom is 42, in three years she'll be 45 and he'll be 9
Step-by-step explanation:
The son is y and the mom is x
x=7y
x+3=5(y+3)
7y+3=5y+15
7y=5y+12
2y=12
y=6
Answer:
Step-by-step explanation:
Given
Required
The area of the shaded sector
This is calculated as:
This gives
