Summary of Knowledge:
The goals of this investigation are to learn how to find the surface area and volume of a cylinder, and we should know the formulas to find the surface area and volume of a cylinder.
Key Vocabulary:
Cylinder: A three-dimensional shape with a top and a base that are congruent circles.
Task Analysis:
The goals of this investigation are to learn how to find the surface area and volume of a cylinder, and we should know the formulas to find the surface area and volume of a cylinder.
Key Vocabulary:
Cylinder: A three-dimensional shape with a top and a base that are congruent circles.
Task Analysis:
- To find the surface area of a cylinder you should first find the radius, then multiply it by itself .(r*r), times Pi (3.14) times two: 2*(r*r*3.14) You have to multiply it by two because they are congruent circles.
- And then add the height times two times Pi (3.14) times radius (this is the area of the lateral rectangle)
- So it will be: 2* (r*r*3.14) + height *2 *3.14 *radius. That will be the surface area.
- To find the volume of a cylinder you should multiply radius times radius times 3.14 times the height
- We have to find the area of the base and then multiply it by the height.
Examples:
The diameter of a cylinder is 10 cm, and the height is 8 cm. What is the surface area and the volume?
volume:5*5*3.14*h=628.31 cm3
surface area:5=radius(1/2 of diameter) 5*5*3.14*2=157.07+8*10*3.14=408.40 cm2
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