8C.5.4 Surface area of a cylinder
A cylinder can be considered a circular prism, so finding the surface area is a lot like a regular prism:
- Consider how many sides the shape will have
- Find the area of each side
- Find the sum of the areas
Pre-Class Assignment:
- Notes Template (8.5.4.notes.cylinder.sa.pdf)
- Watch the 5 videos and complete your notes:
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Leave a comment to answer a question:
- When a hole is drilled through a solid, how can the areas of each part of the cylinder be used to help find the NEW surface area of the new shape (with the hole)?
In-Class Assignment
- p186 #3, 5, 6, 8, 9, 10, 11, 12, 13
Comments (17)
You can figure out the area of the drill bit and - it from the area of the top.
First you need to find the surface area of the original cylinder, then you find the area of the smaller circles area and subtract it from the total area, the you find the area of the inside tube using the height and the circonference of the little circles, then you subtract that number from the total.
you have to find the area of the two circles taken away from the top and bottum of the object then subtract it from the original surface area and then find the area of the cilinder on the inside of the object and add it on to the new surface area!!!!!!!!
You need to find the areas of the two circles. Then you find out the area of the rectangle on the cylinder. If you find that out you then can can find out the new surface area of the new object.
The surface area of the new shape with the hole is equal to the surface area of the original shape minus the surface area of the top and bottom of the hole cylinder plus the surface area of the body of the hole cylinder.
First, you figure out the surface area of the cylinder. Then you figure out the area of all the different parts of the cylinder that you drilled out. You subtract the area of the two circles and add the area of the rectangle to your original area for the undrilled cylinder.
first, find the area of the cylinder. next you will have to find the area of the holes the drill made and subtract these top and bottom circles from the total area. but now, because inside the cylinder where its been drilled is exposed, you will have to find that area and add it to your total.
You will need to find the surface area of the cylinder, then you need to find the surface area of the drill. Substract the area of the drill from the area of the cylinder.
First you need to find the surface area of the cylinder if it didn't have a hole drilled through it. Then you'd need to measure the diameter of the hole (divided in half to get the radius) then get the area of the circle (hole). Then you'd need to subtract that times 2 (for each side) from the surface area.
To find the added surface area from the hole you would need to multiply the circumference by the height then add that to the surface area (minus the surface area taken away by the hole) to get the new surface area.
Find the area of the end of one of the holes and multiply it by 2 (top and bottom). then subtract it from the area of the cylinder. After that you add the whole thing to the origional area of the shape.
Take the circumference of the circle you drilled and then times it by the height of the cylinder.
you have to fid the surface area of the whole cylinder and if you then make a net out of the cylinder with the whole drilled inside the cylinder you could probably make an educated guess of how much of the shape you took off. or You need to know how much you took of the top and it should be the same on the bottom and then you add the height of the cylinder to the diameter of the whole and you get how much you've taken off.
Well technically, you find the area of the two circles... Then you find the area of the rectangle... with this u can find the area of the hole drilled...
To find the surface area of a cylinder with a hole drilled through it you would first need to know the surface area of the top, bottom and side of the cylinder. Then you would subtract the area of the holes on the top and the bottom of the cylinder by using the formula 2 pi r2 (r is the radius of the drill bit). Then you would add the surface area for the walls of the hole that was just created by using the formula pi d h (d is the diameter of the drill bit.)
First, you would have to figure out the surface area of the cylinder then you would have to calculate the area of the drill then all you have to do is subtract the drill area from the surface area of the cylinder.
the new surface are is equal to the origanal surface area of the object. less the top and the bottom suface area of the cylinder plus the body suface area of the cylinder.
For the most part you can keep the same measurements for the solid. By using the measurements with the equation such as A=HxDx3.14 you can use the previous measusrements to find the new surface area.
You can use the depth of the Object to figure out the length.