Use the image to answer the question.

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

3 answers

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.
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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