Step-by-step explanation:
radius of sphere, rs
radius of cylinder, rc
height of cylinder, h
given: h = rs = rc =r..eq1
volume of cylinder, vc = 27pi ft...eq2
volume of cylinder, vc = pi × rc^2 × h...eq3
volume of sphere, vs = 4/3(pi×rs^3)...eq4
subst for h & rs from eqn 1 in eqn 3...
vc = pi x r^2 x r= pi x r^3...eqn 5
subst for vc from eqn 2 in eqn 5...
=> 27 pi ft = pi x r^3
=> 27 = r^3
=> r = 3ft...eqn 6
subst for rs from eqn 1 in eqn 4
vs = 4/3 (pi x r^3)...eqn7
subst for pi x r^3 from eqn 5 in eqn 7
vs = 4/3 vc = 4/3 (27pi ft) = 36 pi ft
All you have to is divide two consecutive terms to calculate the common ratio
1/4 divided by 5/12 = 1/4 * 12/5 = 12/20 = 3/5
First, you would start on the orgin (0,0), and move up 1. You should now be at (1,0) make a point here
Next, you will move down 2. You should now be at (-1,0)
Finally, you move right 3.
You should now be at (-1,3)
Make a point
Hope this helps!
The length is 54 ft because 13.5 in. is equal to .25*54 so 1*54 would be your answer in feet.
Answer:
they are not equal because they are both simplifed and if they were equal, theyd be the same number simplified
