The question is: Determine the surface area and volume of this cylinder, correct to one decimal point.
The cylinder has a radius of 4 inches and the height is 3 yards.
This site explains how to find the surface area and volume of a cylinder.
http://id.mind.net/~zona/mmts/geometrySection/surfaceAreasAndVolumes/areaVolumeCylinder1.html
To find the surface area and volume of a cylinder, you can use the following formulas:
1. Surface Area of a Cylinder:
The surface area of a cylinder is the sum of the areas of its two bases and its curved surface. The formula to calculate the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
where π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder's base, and h is the height of the cylinder.
2. Volume of a Cylinder:
The volume of a cylinder is the amount of space inside the cylinder. The formula to calculate the volume of a cylinder is:
Volume = πr²h
Using the given dimensions, let's solve the problem:
Radius = 4 inches
Height = 3 yards
First, we need to convert the height from yards to inches because the radius is given in inches.
1 yard = 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches)
Height (in inches) = 3 yards * 36 inches/yard = 108 inches
Now we have the following values:
Radius (r) = 4 inches
Height (h) = 108 inches
Using the formulas mentioned above, we can calculate the surface area and volume of the cylinder.
Surface Area = 2π(4)² + 2π(4)(108)
Volume = π(4)²(108)
To get the final answer, you can use a calculator or a math software to evaluate these calculations and round the results to one decimal point.