How do you calculate the volume of a cone shaped object?

Answer 1

The volume of a cone is 1/3(Area of Base)(height) = 1/3 π r2 h

Answer 2

The volume, V, of a cone of height, h, and base radius, r, is 1/3 of the volume of the cylinder with the same dimensions, i.e. V = πr2h / 3. The center of mass (assuming the cone is filled with uniform density) is located on the axis, 1/4 of the way from base to apex.

The surface area A is given by A = πr(r + s), where is the "slant height" of the cone. The first term in the area formula, πr2, is the area of the base; while the second term, πrs, is the area of the curved side surface.

Surface Area = Base Area + Lateral Area

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In common usage and elementary geometry, a cone is a solid object obtained by rotating a right triangle around one of its two short sides, the cone's axis. The disk swept by the other short side is called the base, and the endpoint of the axis which is not on the base is the cone's apex or vertex. An object shaped like a cone is said to be conical.

A cone with its apex cut off by a plane parallel to its base is called a frustum. The term cone is sometimes extended to more general shapes, such as the image of a common cone by an affine map — which may turn the basis into an ellipse (producing an elliptical cone) and/or tilt the axis relative to the base (an oblique cone).

Answer 3

Volume of the cone=1/3 times thearea of the base (circle) multiplied by the height of the cone
or V=(1/3)(pi r^2) (h)

Answer 4

The formula for a cone shaped object is V=1/3(Pi)(r^2)(h).
Remember that due to similar triangles that the radius increases/decreases proportionally to the height.

Answer 5

It's one third the area of the base times the height

Formulaic: 1/3(pi)(radius squared)(height)

Answer 6

1/3 PI r^2 h

where "r" is the radius at the base of the cone, and "h" is the height from that base to the tip (and PI is 3.1415926535.., evidently)

Answer 7

1/3 of the volume of the cylinder with same height and the base dia

Answer 8

V = Ah/3 and A = pi r^2.
Th

Answer 9

1/3(Area of Base)(height) = 1/3 π r2 h
that's the formula

Answer 10

V = integral(0,h,pi * (xb/h)^2 dx)
b = radius of base
h = height of cone

V = pi * (b/h)^2 * [(x^3)/3]{0,h}
= pi * (b/h)^2 * (h^3)/3
= pi * b^2 * h/3