Use the image to answer the question. it has a height or 5cm and a low of 3cm Find the volume of the cylinder, in cubic centimeters. Round your answer to the nearest tenth. (1 point) cubic centimeters
To find the volume of a cylinder, you multiply the area of the base by the height. The base of the cylinder is a circle, so the area can be found using the formula:
Area = π × radius^2
From the image, we can see that the width of the circle (diameter) is 3 cm. Therefore, the radius is half of that:
Radius = 3 cm ÷ 2 = 1.5 cm
Now we can find the area of the base:
Area = π × (1.5 cm)^2
≈ 7.07 cm^2 (rounded to the nearest hundredth)
The height of the cylinder is given as 5 cm.
To find the volume, we multiply the area of the base by the height of the cylinder:
Volume = 7.07 cm^2 × 5 cm
= 35.35 cm^3 (rounded to the nearest tenth)
Therefore, the volume of the cylinder, rounded to the nearest tenth, is 35.4 cubic centimeters.