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
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.
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