Question

Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.(1 point)

PLEAASEE ANSWER

Answer 1

The volume of the cylinder with a diameter of 16 inches and a height of 7 inches is 1408 cubic inches.

Step-by-step explanation:

To find the volume of the cylinder, you would use the formula V = πr²h, where V is the volume, π (pi) is approximately 3.14, r is the radius of the cylinder, and h is the height of the cylinder. The cylinder's diameter is given as 16 inches, so its radius is half of that, which is 8 inches. The height is given as 7 inches. Plugging these values into the formula gives us:

V = 3.14 × (8 inches)² × 7 inches = 3.14 × 64 in² × 7 in = 1408 cubic inches

Therefore, the volume of the cylinder is 1408 cubic inches.

Answer 2

The volume of the cylinder with a diameter of 16 inches and a height of 7 inches is approximately 1407.52 cubic inches when using 3.14 for pi and rounding to the nearest hundredth.

Step-by-step explanation:

To find the volume of a cylinder with a diameter of 16 inches and a height of 7 inches, we can use the formula V = πr²h. First, we need to find the radius (r) of the cylinder, which is half the diameter, so in this case, r = 8 inches. Then, plugging the radius and the height into the formula, we get:

V = 3.14 × (8 inches)² × 7 inches

V = 3.14 × 64 inches² × 7 inches

V = 3.14 × 448 inches³

V = 1407.52 inches³

Therefore, the volume of the cylinder is approximately 1407.52 cubic inches, rounded to the nearest hundredth.