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: The largest common factor of 28 and 32 is 4.
Step-by-step explanation:
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 32 are 1, 2, 4, 8, 16, 32
Answer:
You use the formulas for the shapes
Cylinder= 2×π×r×h+2×π×r² π×r²×h
Cone=
π×r²×
Square Prism= 2×a²+4×a×h a²×h
↑a=base edge
Step-by-step explanation:
Surface Area Volume
Cylinderical Head ≈282.74 ≈314.16
Conical Hat ≈170.13 ≈78.54
Right Cylinder Torso ≈471.24 ≈785.4
Right Cylinder Arm ≈56.55 ≈25.13
Square Prism Leg =224 =192
Answer:
1) the factored form is y= ( x-5 ) ( x+4 )
2) the vertex is (4.5, -0.25)
3) the y intercept is when x equals 0 so it is at (0,20)
4) it opens upward and the vertex is (4.5, -0.25) the x intercepts are (4,0) and (5,0) and the y intercept is (0,20)
5)
a. it dips between 4 seconds and 5 seconds so the x intercepts are (4,0) and (5,0)
b. it is taken at the vertex aka the lowest point so the height is -0.25
9801
99 is the greatest 2 digit number so if you do 99x99 you will get 9801