The volume (V) of a cylinder is represented by V=πr²h, where r is the radius of the base and h is the height of the cylinder. If the volume of a cylinder is 120 cubic meters and the height is 5 meters, what is the radius of the base?
A. 2.76 meters
B. 8.68 meters
C. 13.82 meters
D. 43.41 meters
A. 2.76 meters
B. 8.68 meters
C. 13.82 meters
D. 43.41 meters
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CYLINDERS
Given
Use the derived formula of the volume to find the radius of the base.
r² = V / πh
r² = 120 / (π)(5)
r² = 120 / 5π
r² = 7.6934
√r² = √7.6934
r ≈ 2.76 meters
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Answer:
A. 2.76 meters
Step-by-step explanation:
V=πr²h
120 = πr²5
120/(π)(5) = r²
120/15.707963 = r²
7.63947 = r²
2.76395 = r