Answer:
Step-by-step explanation:
If the volume is given as 774, then we will plug that into the volume equation along with the other stuff we know and solve for r:
If V = πr²h, then
774 = (3.14)(r²)(10.4) and
774 = 32.656r² so, dividing by 32.656 gives you
23.70161685 = r², and taking the square root of that gives you that
r = 4.9 inches
Let's solve part b by reducing the height to 8 in, just because...
774 = (3.14)(r²)(8) and
774 = 25.12r² and dividing both sides by 25.12 gives you that
30.81210191 = r² . Taking the square root of both sides gives you that
r = 5.6 inches.
It appears that if you reduce the height, the radius increases to make up for the difference. Likewise, if you increase the height, the radius decreases to make up for the difference.
