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No, it never can equal one third of the lateral surface area:
If the base of the cylinder and cone has radius r, and the height of the cone and cylinder has height h, then:
Lateral surface area of a cone = πr√(r2+h2)
Lateral surface area of a cylinder = 2πrh
The lateral surface area of a cone equals one third the lateral surface area of a cone when:
πr√(r2+h2) = 1/3 x 2πrh
⇒ √(r2+h2) = 2/3h
⇒ r2+h2 = 4/9h2
⇒ r2 = -5/9h2
But a square number can never be negative, so this is impossible.
However, the volume of a cone is one third the volume of the cylinder with the same radius r and height h:
Volume cone = 1/3πr2h
Volume cylinder = πr2h
What else can I help you with?
Is a cylinders volume always double the surface area?
No.
What is similar in finding the surface area of any prism?
Finding the surface area of any prism involves calculating the areas of its two parallel bases and the lateral faces that connect these bases. The total surface area is obtained by adding the area of the bases to the sum of the areas of the lateral faces. Regardless of the prism's shape (triangular, rectangular, etc.), this method remains consistent, as it always requires identifying the base area and the height or dimensions of the lateral faces. This systematic approach simplifies the process of determining the surface area of various types of prisms.
A lateral face of a pyramid is always a triangular region?
true
A lateral edge of a pyramid is always perpendicular to the base?
I have absolutely no idea whatsoever.
How are cones and cylinders similar to pyramids and prisms?
cones are similar to pyramids because they come to a point, also known as the vertex. Cones and pyramids are also conic. Cylinders are similar to prisms because their base, no matter what shape, will translate (slide) all the way up the middle to the top. Basically, their 2 bases should always always always be congruent. Prisms and cylinders are also cylindric.
What position should the cylinders be in when checking hydraulic oil?
When checking hydraulic oil, the cylinders should be in a fully retracted position. This ensures that the hydraulic system is at its lowest point, providing an accurate assessment of the oil level. Additionally, the machine should be on a level surface to avoid misleading readings. Always refer to the manufacturer's guidelines for specific procedures related to your equipment.
How are the VW 2.1 cylinders numbered?
The first cylinder is always the one on the opposite site of the clutch.
Do you have LPG gas loss in cylinders?
Do not completely fill the cylinder. Always check the hoses and fittings.
Are the bases always parallel?
No. They are parallel only in RIGHT prisms or RIGHT cylinders. However, they are almost always parallel for school level questions.
The uses of lateral position?
This position is used in radiological (x-ray) positioning. A rule of thumb is that 2 x-rays at right angles should always be obtained, one supine or prone and one lateral.
When replacing cylinders must the engine be re-bored?
When replacing cylinders in an engine, re-boring may be necessary if the existing cylinder walls are worn, damaged, or not within the manufacturer's specifications. Re-boring helps to create a smooth, even surface that can accommodate new piston rings and ensure proper sealing. However, if the new cylinders fit correctly and the existing walls are still in good condition, re-boring may not be required. Always consult the engine specifications and a qualified mechanic to determine the best approach.
What does a road always have?
a surface
