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The height of a cylinder is 20 centimeters. The circumference of the base of the cylinder is 1410 centimeters.

Which measurement is closest to the volume of the cylinder in cubic centimeters?
A 12,315.0 cm
B 4,398.2 cm
C 3,078.8 cm
D 2,199.1 cm

User Shaquona
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1 Answer

2 votes

Final answer:

To find the volume of the cylinder, use the formula V = πr²h. Calculate the radius using the formula for circumference, C = 2πr. Substitute the values into the volume formula to find the volume in cubic centimeters.

Step-by-step explanation:

To find the volume of the cylinder, we need to use the formula V = πr²h, where r is the radius and h is the height. Given that the circumference of the base is 1410 cm, we can use the formula for circumference, C = 2πr, to find the radius. Solving for r, we have

r = C / (2π) = 1410 / (2π) ≈ 224.73 cm.

Substituting the values of r and h into the volume formula, we get

V = 3.142 × (224.73 cm)² × 20 cm ≈ 100777.66 cm³.

Therefore, the measurement closest to the volume of the cylinder is 100,777.66 cm³, which corresponds to answer choice A.

User Parallax Sugar
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