Because a circle is a two-dimensional figure - the other two are three-dimensional. The circle is just a flat thing that is just drawn while both a cone and cylinder are 3D. The cone has a flat circle on the buttom and the rest is a triangle the is circlier, As shown: As A cyliner has to cirles , on the top and botom and the rest is a big 3d of it, as shown: While the circle is flat at of all of them, as shown:
draw a slump cone . now imagine what the shape would be if u extend the sides of the slump cone. you'll have a complete cone with the base of 20 cm and the hight of 60 cm. all you need to do is to subtract the big cone form the top small cone. V=1/3(3.14*0.22*0.6) - 1/3(3.14*0.12*0.3) V= 0.02198 m3
No. It has a flat top, no matter how you place it.
No, it is not. For a cone, think of a standard ice-cream cone shape (or a witches hat) - a circular top OR base (but not both), which has sides coming off that taper into a point. Whereas a cylinder has a circular top AND base, (like the shape of baked bean cans), with sides joining both top and base.
A cone has a curved surface and only has one base (the bottom). A prism however, has two bases (the top and bottom) and has only polygonal faces. A cone also has an apex which a prism doesn't.
Separate them into parts. First calculate the volume of the cylinder, then the cone and then add the results
You simply calculate it like a cone, but the height of the cone is the height to the top of the FILLED part, not all the way. Half-filled is not enough information . . . there can be "half filled" meaning half the height of the cone, but can also be "half filled" meaning half the volume of the cone.
Calculate the volume of full cone. For this you need to reproduce the cone surface upto the point where radius becomes zero.Then deduct the volume of the portion which is cut from the full volume. You can't multiply the height to the average of bottom area and top area. Because area (pi.r^2) is the second degree function of radius, not first degree.
A cone.
yesadd. Strictly speaking, a geometric cone is a solid. But 'ice cream cones' will stack.Similarly, a circle is the disk bounded by the curved line, NOT the curved line.
the are flat on the bottom and tappered at the top
because the flat side of a cone is a circle.
A frustum is a truncated cone or pyramid. In other words, a cone with the top cut off, much like an ice cream cone with a flat bottom.
A 'partial cone' probably means a truncated cone or frustum (See Related Link).The easiest way to calculate a surface area of a partial cone is to assume the cone is full. We will call this cone #1. Now, calculate the surface area of a cone and assume the base is equal to the top base of your partial cone. We will call this #2.Now you have two cones. If you subtract cone #2 from cone #1 you will get your desired cone.For a detailed answer:SA= pi * (R + r) * [ ( R - r )2 + h2 ]0.5where:h=height of frustumR=Base Radius (bottom base)r=top base Radius( R > r )This assumes that the flat surfaces are parallel.
square root of r^2+h^2 You are pretty much just using the pythag. therom but replacing a and b with radius and height.
The volume is 3500000/3 π mm3 ~=3665191 mm3 (~= 3.67 litres). A cylinder normally has a constant cross section. What you have is a cone with the top chopped off, thus its volume is the volume of the whole cone minus the volume of the top cone: The diameter reduces from 200mm to 100mm (that is 100mm) in 200mm height so it will reduce from 100mm to 0mm (that is a further 100mm) in a further 200mm height. So the "whole" cone has a height of 200mm+200mm = 400mm and the "top" cone has a height of 200mm. The volume of a cone is 1/3πr2h, so the volume of the "cylinder" is: volume = volume_whole_cone - volume_top_cone = 1/3π(200 ÷ 2)2400 mm3 - 1/3π(100 ÷ 2)2200 mm3 = 200/3π(1002x2 - 502) mm3 = 3500000/3 π mm3 ~= 3665191 mm3 ~= 3665 cm3 = 3.665 litres.
The shape described cannot be a cone since a cone has a base at one end and a point - of zero length - at the other!