Answer:
1.69 ft (approx.)
Step-by-step explanation:
Formula for Volume of cylinder: pi x radius squared x height
Plug in 108 for volume, 3.14 for pi and 12 for height:
108 = 3.14 x r squared x 12
Multiply 3.14 and 12
108 = 37.68 x r squared
Divide both sides by 37.68
2.87 = r squared
"Unsquare" both sides (square root)
1.69 ft. = radius (approximate answer, rounded to nearest hundredth)
Answer:
1.69 ft
Step-by-step explanation:
V = πr²h formula of a cylinder.
Volume = 108 ft
Height = 12 ft
Radius = r
V = πr²h
108 ft = 22/7 × r² × 12 ft
π = 22/7 or 3.14
108 ft = 264/7r²
108 ft = 37.71r²
divide both sides by 37.71
108 ft/37.71 =r²
2.86 ft = r²
square root both side
√2.86 ft = √r²
the square cancels the square root
1.69 ft.
To check
V = πr²h
108 = 22/7 × (1.69)² 12
108 = 22/7 × 2.8561 × 12
108 = 107.61≈108
108 ft = 108 ft.
