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What is the volume of a cylinder, in cubic cm, with a height of 14cm and a base diameter of 6cm? Round to the nearest tenths place

Question

What is the volume of a cylinder, in cubic cm, with a height of 14cm and a base diameter of 6cm? Round to the nearest tenths place

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Solution

The volume of a cylinder can be calculated using the formula: V = πr²h

Where: V is the volume, r is the radius of the base, h is the height of the cylinder, and π is a constant approximately equal to 3.14159.

In this case, the diameter of the base is given as 6 cm. The radius is half the diameter, so r = 6 cm / 2 = 3 cm.

The height, h, is given as 14 cm.

Substituting these values into the formula gives:

V = π * (3 cm)² * 14 cm = π * 9 cm² * 14 cm = 126π cm³.

Rounding to the nearest tenth gives a volume of approximately 395.8 cm³.

This problem has been solved

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