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.
To find the volume of a cylinder, we use the formula:
Volume = base area * height.
The base area of a cylinder is given by the formula:
Base area = π * radius^2,
where π is a constant approximately equal to 3.14.
Given that the base radius is 8 millimeters, we can calculate the base area as follows:
Base area = 3.14 * (8 mm)^2
= 3.14 * 64 mm^2
= 200.96 mm^2.
The height of the cylinder is given as 13 millimeters.
Now we can calculate the volume of the cylinder:
Volume = base area * height
= 200.96 mm^2 * 13 mm
= 2612.48 mm^3.
Rounding to the nearest hundredth, the volume of the cylinder is approximately 2612.48 cubic millimeters.