Sphere
The surface area of the 'sphere' is four times the area of a 'great circle',or (4 pi) times the RADIUS squared.
It is the surface area of the solid.
πr2h or the radius squared multiplied by pi multiplied by the vertical height of the cylinder.
A steradian is the solid angle subtended at the centre of a sphere by radius r by a portion of the surface of the sphere which has area r2.
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. ========================================================== 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.
The surface area of the 'sphere' is four times the area of a 'great circle',or (4 pi) times the RADIUS squared.
you put: a squared over b squared = surface area of the smaller solid over surface area of the bigger solid
It has a surface area of: 4*pi*radius squared It has a volume of: 4/3*pi*radius cubed
The volume of the similar solid would be 16M squared.
It is the surface area of the solid.
surface area
πr2h or the radius squared multiplied by pi multiplied by the vertical height of the cylinder.
solid angle is the ratio of the intercepted area dA of the spherical surface , described about the apex O as the centre ,to square of its radius r
A steradian is the solid angle subtended at the centre of a sphere by radius r by a portion of the surface of the sphere which has area r2.
It is in square units: (2*pi*radius2)+(pi*radius2)
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. ========================================================== 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.
Im not sure what you mean by a pure rod, but if you are talking about a solid rod, which is simply a cylinder, you can calculate its area as follows: πDL+(πR²)2 Which is pi times the diameter times the length plus pi times the radius squared multiplied by 2.