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A cylinder has a diameter of 6 cm and a height of 7 cm. What is the volume of the cylinder? Use 3.14 for pi, and round your answer to the nearest hundredth.

65.94 cm3
131.88 cm3
197.82 cm3
791.28 cm3

User Thehhv
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8.1k points

1 Answer

3 votes

Answer:

Explanation:

To find the volume of a cylinder, we can use the formula V = πr^2h, where V is the volume, π is the mathematical constant pi, r is the radius, and h is the height of the cylinder.

Given that the diameter of the cylinder is 6 cm, we can find the radius by dividing the diameter by 2. So, the radius is 6 cm ÷ 2 = 3 cm.

The height of the cylinder is given as 7 cm.

Now, we can substitute the values into the formula:

V = 3.14 × 3^2 × 7

First, let's calculate 3^2 = 9.

V = 3.14 × 9 × 7

Next, let's multiply 3.14, 9, and 7 together:

V = 197.82 cm^3

Therefore, the volume of the cylinder is approximately 197.82 cm^3 when rounded to the nearest hundredth.

Hope this helps!