Respuesta :
Answer: 6 cm
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V): π x radius ² x height
Replacing with the values given and solving for v (Volume)
1584 = π x r ² x 14
Solving for r:
1584 / (π x 14) = r²
36.01 = r²
√36.01 = r
6 cm = r
In conclusion, the radius of the cylinder is 6 centimeters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
The radius is 6 cm
Step-by-step explanation:
To solve this, we will follow the steps below:
write down the formula for finding the volume of a cylinder
volume of a cylinder =πr²h
from the question volume of the cylinder = 1584 cm²
height = 14 cm
substitute the formula and solve for r
π is a constant and is ≈ 3.14
1584 = 3.14×r²×14
1584= 43.96 r²
divide both-side of the equation by 43.96
36≈ r²
take the square root of both-side
√36 = √r²
6 = r
r = 6cm
The radius is 6 cm
