What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters and a base diameter of 16 centimeters? Round to the nearest tenths place

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.

Step 1: Find the radius. The diameter of the base is given as 16 centimeters, so the radius (r) is half of that, which is 8 centimeters.

Step 2: Substitute the values into the formula. V = π * (8 cm)² * 8 cm = π * 64 cm² * 8 cm = 512π cm³.

Step 3: To round to the nearest tenth, calculate the numerical value of 512π. π is approximately 3.14159, so 512π is approximately 1608.4955 cubic centimeters.

Step 4: Round to the nearest tenth. The volume of the cylinder is approximately 1608.5 cubic centimeters.

The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.

Step 1: Find the radius. The diameter of the base is given as 16 centimeters, so the radius (which is half the diameter) is 8 centimeters.

Step 2: Substitute the radius and the height into the formula. So, V = π * (8 cm)² * 8 cm = π * 64 cm² * 8 cm.

Step 3: Calculate the volume. V = 512π cubic centimeters.

Step 4: Round to the nearest tenths place. The volume of the cylinder is approximately 1608.5 cubic centimeters when rounded to the nearest tenths place.