Math  /  Geometry

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A cylinder has a height of 19 millimeters and a radius of 18 millimeters. What is its volume? Use π3.14\pi \approx 3.14 and round your answer to the nearest hundredth. \square cubic millimeters Submit

Studdy Solution

STEP 1

1. The cylinder has a height of 19 19 millimeters.
2. The radius of the base of the cylinder is 18 18 millimeters.
3. Use π3.14\pi \approx 3.14.

STEP 2

1. Recall the formula for the volume of a cylinder.
2. Substitute the given values.
3. Calculate the volume.
4. Round the result to the nearest hundredth.

STEP 3

Recall the formula for the volume of a cylinder:
V=πr2h V = \pi r^2 h
where r r is the radius and h h is the height.

STEP 4

Substitute the given values into the formula:
V=π(18 mm)2(19 mm) V = \pi (18 \text{ mm})^2 (19 \text{ mm}) =3.14×182×19 = 3.14 \times 18^2 \times 19

STEP 5

Calculate the volume:
V=3.14×324×19 V = 3.14 \times 324 \times 19 =3.14×6156 = 3.14 \times 6156 =19324.24 mm3 = 19324.24 \text{ mm}^3

STEP 6

Round the result to the nearest hundredth:
The volume of the cylinder is:
19324.24 mm3 \boxed{19324.24 \text{ mm}^3}

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