Question

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A 3 D cylinder shows a base radius of 8 millimeters and perpendicular height of 13 millimeters. A right angle is formed at the center of the base.

Find the volume of the cylinder, in cubic millimeters. Round your answer to the nearest hundredth.

(1 point)
cubic millimeters
Answer
A water bottle has a height of 16 inches and a radius of 4 inches. What is the volume, in cubic inches, of the water bottle? Use 3.14 for pi. (1 point)
cubic inches
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Answered by GPT 3.5
To find the volume of the cylinder, we can use the formula:

Volume = (base area) × height

The base area of a cylinder is calculated using the formula:

base area = π × (radius)^2

From the given information, we know that the radius of the base is 8 millimeters. Therefore,

base area = π × (8)^2

base area ≈ 3.14 × (64)

base area ≈ 200.96 square millimeters

Now, we can calculate the volume of the cylinder by multiplying the base area by the height.

Volume = (base area) × height

Volume ≈ 200.96 × 13

Volume ≈ 2612.48 cubic millimeters

Rounded to the nearest hundredth, the volume of the cylinder is approximately 2612.48 cubic millimeters.