0
What else can I help you with?
What is the relationship between cone and cylinder?
They are both geometric shapes. Both of the shapes has circles as their base.
What is the relationship between state and law?
Distinguish between a public law relationship and a private law relationship.
What is the relationship between ethics?
What is the relationship between ethics and WHAT? You need at least two things to have a relationship.
That the height of the cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm?
The height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is not 16 cm; it is actually 16 cm when considering the relationship between the cone's dimensions and the sphere's radius. The cone's volume is maximized when its height is two-thirds of the sphere's radius, which means the optimal height is ( \frac{2}{3} \times 12 \text{ cm} = 8 \text{ cm} ). Thus, the statement is incorrect; the correct height for maximum volume is 8 cm, not 16 cm.
What was the relationship between the brothers?
a relationship between brothers should be sacred and good....
What is relationship between cone and sphere?
Actually seeing the relationship between the volumes of a cone (one-third of a cylinder) and a sphere (two-thirds of a cylinder) is hard to beat. The cylinder is 1/3 the volume of the cone
What is the relationship between cone and cylinder?
They are both geometric shapes. Both of the shapes has circles as their base.
How is the relationship between formula of volume of a cone and formula of volume of a cylinder related to the relationship between the formula of volume of a pyramid and formula of volume of a prism?
The relationship between the formulas is that in all the radius is cubed.
What is the difference between a cone and a cylinder besides a cylinder has 2 faces and a cone has 1?
A cylinder has 3 faces, a cone 2. A cylinder has 2 edges, a cone 1. A cylinder consists of 2 circles and 1 rectangle, a cone consists of 1 circle and 1 semicircle.
How much volume is in a cone?
The volume ( V ) of a cone can be calculated using the formula ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius of the base and ( h ) is the height of the cone. This formula derives from the relationship between the cone and a cylinder of the same base and height, where the cone occupies one-third of the cylinder's volume.
What is the difference between a cylinder and a cone?
A cylinder has two bases that are circles but a cone only has one base then a vertex.
What is the difference between cone and cylinder?
A cylinder has two bases that are circles but a cone only has one base then a vertex.
Why is a circle the odd one out between a circle a cylinder and cone?
A circle is a two-dimensional figure, where the cylinder and cone are three-dimensional.
What is the difference between a square pyramid cylinder and a cone?
a cone looks like an ice cream cone and a cylinder has 2 circles (one on each side) figure it out
What is the difference between a cone and a cylinder?
A cone has a verticy and a big circle face a cylinder has no verticys just 2 circle faces and a curved face in the middle
How do you determine cone formula?
To determine the formula for the volume of a cone, you can start with the formula for the volume of a cylinder (V = πr²h) and realize that a cone is essentially a third of a cylinder with the same base and height. Therefore, the volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. This relationship reflects how the cone occupies one-third of the space of the cylinder.
A cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder V1 is not taken up by the c?
To find the volume of the cylinder ( V_1 ) that is not occupied by the cone, we first need to calculate the volumes of both the cone and the cylinder. The volume of the cone is given by ( V_{\text{cone}} = \frac{1}{3} \pi r^2 h ), while the volume of the cylinder is ( V_{\text{cylinder}} = \pi r^2 H ), where ( h ) is the height of the cone, ( H ) is the height of the cylinder, and ( r ) is the radius of the base. The volume of the space not occupied by the cone in the cylinder is then ( V_1 = V_{\text{cylinder}} - V_{\text{cone}} = \pi r^2 H - \frac{1}{3} \pi r^2 h ). Since the cone and the pyramid have the same volume, this relationship helps in understanding their dimensions but does not directly impact the volume calculation for the cylinder.
