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Sagot :
Answer:
4 m
Step-by-step explanation:
The formula for the volume of a cylinder is πr^2 x h
r = radius h = height
So, with this you can reverse it to find the radius since you know the height.
96π/6 = 16π
√16π = 4π
radius = 4 m
Answer:
4 meters
Step-by-step explanation:
Given:
- Height of cylinderical tank: 6 meters
- Volume of cylinderical tank: 96π meters³
⇒ Volume of cylinder: πr²h
Substituting the height and the volume in the formula:
⇒ Volume of cylinder: πr²h
⇒ 96π meters³ = (π)(r²)(6)
Dividing both sides by 6π to isolate "r" (Radius):
⇒ 96π/6π = (π)(r²)(6)/6π
⇒ 96π/6π = (r²)
⇒ 96/6 = (r²)
⇒ 16 = (r²)
Taking a square root both sides:
⇒ √16 = √(r²)
⇒ √4 x 4 = √(r x r)
⇒ 4 meters = r
The measure of the radius is 4 meters.
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