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What else can I help you with?
Show that the volume of cylinder is equal to one third the volume of cone?
It isn't. If the cylinder and the cone have the same height and radius, the cylinder has a larger volume (twice as large). If they do not have the same height and radius you need more information to prove their relative volumes.
What geometric shape has 1 circular base?
A sphere intersected by a plane, An circular ellipsoid intersected by a plane, A cylinder, A cone, and many more shapes, some of which don't even have a name!
Why is the curved surface of cone not 2pi x r x l?
Because 2Pi x r x L is the curved surface of a cylinder. Clearly a cylinder have more surface area than a cone of same height and radius. The surface of the cone is Pi x r x S where S is the slope length, so the cylinder has approximately double the surface area (note S is longer than L).
What is the formula for cylinder and cone?
Its not clear from the question what formulas are being requested, but: Surface area of a right cone (one where a line from the tip through the center of the base is perpendicular to the base) A = πr2 + π r(r2 + h2)½ Volume of a right cone V = (1/3)πr2h Surface area of a cylinder A = 2πr2 + 2πrh Volume of a cylinder V = πr2h where π is the number pi r is the radius of the figure h is the height of the figure perpendicular to the base. The equations for a slanted cone are more complex - so ask again with that specification if that is what you are looking for.
Why can't you use a quick formula to find the surface area of an oblique cylinder?
A quick formula for the surface area of a cylinder typically assumes that the cylinder is right-angled, meaning that its bases are perfectly aligned and perpendicular to its height. In an oblique cylinder, the bases are not aligned in this way, leading to a more complex surface area calculation. The slant height and the angles between the bases and the height must be considered, which requires more detailed geometric analysis than a simple formula can provide.
Why does a cylinder have one more plane of symmetry than a cone?
A cylinder and a cone have infinitely many planes of symmetry because of the circular face. However, a cylinder can also be cut in half lengthwise (imaging cutting a soda can in half), while a cone cannot (imagine cutting a ice cream cone in half). Therefore, a cylinder has one more plane of symmetry than a cone.
How many corners faces and sides does a cone cylinders and sphere have?
If these forms are all solid, a sphere has one side and face, a cone two, and a cylinder three. If there are hollow, they have one more face than side.
Show that the volume of cylinder is equal to one third the volume of cone?
It isn't. If the cylinder and the cone have the same height and radius, the cylinder has a larger volume (twice as large). If they do not have the same height and radius you need more information to prove their relative volumes.
How much less or more is the volume of a cylinder in comparison to that of a cone with same height and radius of the base?
The volume of a cylinder is three times as much.
Why is cone shaped more stable than a cylinder?
A cone shape is often considered more stable than a cylinder due to its lower center of gravity and the larger base area relative to its height. The tapered design of a cone allows it to distribute weight more efficiently, making it less prone to tipping over. In contrast, a cylinder's uniform shape can lead to a higher center of gravity, which may result in instability when subjected to lateral forces. Overall, the geometric properties of a cone promote greater stability in various applications.
What is is the length of cylinder?
The length of a cylinder is how tall it is. See the picture in the related link for more information.
What geometric shape has 1 circular base?
A sphere intersected by a plane, An circular ellipsoid intersected by a plane, A cylinder, A cone, and many more shapes, some of which don't even have a name!
Why is the curved surface of cone not 2pi x r x l?
Because 2Pi x r x L is the curved surface of a cylinder. Clearly a cylinder have more surface area than a cone of same height and radius. The surface of the cone is Pi x r x S where S is the slope length, so the cylinder has approximately double the surface area (note S is longer than L).
What is the formula for cylinder and cone?
Its not clear from the question what formulas are being requested, but: Surface area of a right cone (one where a line from the tip through the center of the base is perpendicular to the base) A = πr2 + π r(r2 + h2)½ Volume of a right cone V = (1/3)πr2h Surface area of a cylinder A = 2πr2 + 2πrh Volume of a cylinder V = πr2h where π is the number pi r is the radius of the figure h is the height of the figure perpendicular to the base. The equations for a slanted cone are more complex - so ask again with that specification if that is what you are looking for.
Why can't you use a quick formula to find the surface area of an oblique cylinder?
A quick formula for the surface area of a cylinder typically assumes that the cylinder is right-angled, meaning that its bases are perfectly aligned and perpendicular to its height. In an oblique cylinder, the bases are not aligned in this way, leading to a more complex surface area calculation. The slant height and the angles between the bases and the height must be considered, which requires more detailed geometric analysis than a simple formula can provide.
What is the definition of an irregular volume?
An irregular volume is one that has no simple equation to describe it's shape. An example would be a cylinder with a cone on it's end. The shape can often be divided into two or more regular shapes which have known equations that describe them. In this case, a cylinder and a cone. To then find the total volume of the irregular shape, you sum the volumes of the individual regular shape volumes.
What are shapes that have round sides called?
One round side: Cone Two round sides: Cylinder or frustrum More than 2 round sides: no specific name.
