Actually, answer 1 is for the volume, not the surface area. Aside from that, there are lots of ways to bore a hole in a cylinder.
If it goes from one base (a flat face) to the other (or part of the way) parallel to the axis, answer 1 is correct (for the volume). If it is not parallel to the axis, or if it is bored from the curved surface of the cylinder, it is much more complicated.
Assuming, as in answer 1, that the hole goes all the way from one base to the other parallel to the axis, to get the surface area you would add the surface area of the outer cylinder to that of the hole (just the curved surface portion), and then subtract the areas of the circular holes in the two bases, each of which is pi x the radius of the hole squared.
I'm assuming you know how to calculate the surface area of a cylinder. This is the area of the curved surface, which is 2 x pi x the radius x the height, plus 2 x the area of each base, which is pi x the radius squared.
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Use the formula:- Volume of a cylinder = Pi X Radius squared X Length , to find the volume of a solid cylinder. Repeat the same calculation with the same formula, to find the Volume of the cylinder of fresh air within the cylinder . Subtract the fresh air Volume from the Solid Cylinder Volume. That will be your answer . Think about your problem, then it is dead easy.
if the cylinder is on the inside, it would not affect the surface area. otherwise, subtract the part of the inside cylinder that touches the outside from the cylinder
There is no such thing as a circle prism. The closest thing to a circle prism would be a cylinder.
You would multipy the length of the cylinder by its circumference, then add to that the area of the circle on the closed end. the formula would be: (Pi X diameter X cylinder length) + (Pi X radius X radius) For the base, the area is pi*r2. Add this area to the SA of the side, which is circumference* height, or 2pi*r*h So, the final surface area would be pi*r2 + 2pi*r*h. Because there is only one base, you only need to find the area of one circle on the bottom.
You would need to know the surface area of a cylinder if you are a factory worker at Pepsi. You would need to know the dimensions of the label, so it will fit on the can.
The lateral surface area of a cylinder is the area of a rectangle. In other words: when a cylinder is unravelled, you are left with a simple rectangle with width and length. Depending on what kind of cylinder you happen to have, the circumference of the cylinder could be the width or the length. Where you have a short cylinder with a wide mouth, the circumference would become the length and the h would become the w. So, think of a cylinder as a rectangle. Take a piece of paper (rectangular) and bring the ends together. What do you have?: a cylinder. Now - for the formula: Diameter= D, Circumference= C, pi= 3.14 These are the parameters of a circle. Now, in mathematics, the radius of the circle and 2 *Pi is used in order to find the circumference of the circle. So, (D * pi)= 2Pi *r = C Therefore, the circumference or perimeter equals the width and the height or h = length of a rectangle. Now, then: The Formula for the Lateral surface of a cylinder Is: (2*Pi*r)*h= A Remember that the radius is half the Diameter of a circle and must be multiplied by two in order to convert back to D or Diameter. Please, note that ( 2*pi )= 360 degrees, and that it (2*Pi) also represents one whole revolution around the perimeter of a circle. To simplify: Diameter X (3.14) X height = Lateral Area of a cylinder. I hope this is of some help!
if the cylinder is on the inside, it would not affect the surface area. otherwise, subtract the part of the inside cylinder that touches the outside from the cylinder
Yes.
There is no such thing as a circle prism. The closest thing to a circle prism would be a cylinder.
you measure across the top of the cylinder if it is a cylinder or across the circle if it is flat
The top view of a cylinder is a circle, the side views would be a rectangle.
Surface Area is akin to the amount of skin needed to cover a 2 or 3 dimensional object. To measure surface area you essentially lay the skin out on a flat surface and see how much area it covers. for geometric shapes; cubes, balls, cones, cylinders there is a formula EX: a square cube (a square box with 6 sides) Surface Area cube = 6 times height times width SA cube = 6*h*w EX: a cylinder (a round tube with two ends) Surface Area of cylinder = Length of Cylinder times PI (3.14) times the diameter of the circle at the end PLUS 2 times PI (3.14) times the radius of the circle times the radius of the circle. SA Cylinder = L*PI*D + 2*PI*r*r
A 3-D shape? That would be a cylinder.
a circle
You would multipy the length of the cylinder by its circumference, then add to that the area of the circle on the closed end. the formula would be: (Pi X diameter X cylinder length) + (Pi X radius X radius) For the base, the area is pi*r2. Add this area to the SA of the side, which is circumference* height, or 2pi*r*h So, the final surface area would be pi*r2 + 2pi*r*h. Because there is only one base, you only need to find the area of one circle on the bottom.
The top view of a cylinder is a circle, the side views would be a rectangle.
Answer: A circle (two of them) and a rectangle.
You would need to know the surface area of a cylinder if you are a factory worker at Pepsi. You would need to know the dimensions of the label, so it will fit on the can.