The volume of the cylinder is equal to the sum of all spheres
the volume of 1 sphere is V1=4/3×pi×(1/2 x)³
simplified V1=1/6×pi×x²
we conclude that the volume of the cylinder is V2=270V1
V2=45×pi×x³
also the V2 can be calculated from the cylinder
V2= base(circle)×height
V2=(3x)²×pi×h=9x²×h
so we have
9x²×pi×h=45×pi×x³
simplified h=5x
Answer:
C a dilation will always produce similar figures
Step-by-step explanation:
If the scale factor is >1 then the figure will get larger
< 1 the figure gets smaller
=1 it is congruent
We can rotate the figure but that is not by dilation. dilation does not change the orientation, unless the scale factor is negative( which is a reflection)
Answer:
14.14
Step-by-step explanation:
You can find the value of x using the trig ratio Sine = opposite/hypotenuse.
The sin 45 = 10/x. Solve for x.
x= 10/ sin45
x = 10/0.707
x = 14.14
Answer:
$30
Step-by-step explanation:
5 x 6 = 30
hope this helped :)
Answer:
30 points, 20$,3 laps, 6 miles,15 degrees,7 books,11 gallons,22 miles,12 calls
Step-by-step explanation:
