What is the center of gravity of the cone?

Center of gravity of right circular cone exists on the line of altitude and it lies at the h/4 distance from the center of the base of the cone. In general, the center of gravity refers to the specific point on which the resultant force produced from the vector sum of all the forces acts upon.

What is the formula of frustum of a cone?

Answer: The conical Frustum formulas in terms of r and h is as follows: Volume of a conical frustum = V = (1/3) * π * h * (r12 + r22 + (r1 * r2)).

What is the position of the centre of gravity of a hollow cone?

The centre of gravity of a hollow cone is at a height h/3 from the base. Hence, from the vertex the height is h – h/3 = 2h/3. Hence, the correct answer is option (c).

What is the centre of gravity of the cone base 10cm and height 50 cm *?

Answer: The centre of gravity of a solid right circular cone of height ‘h’ lies on its axis at a distance h/4 from its base. The C.G (G) is at a distance 3/4 h from the vertex. x=3/4×40=30cm.

What is lateral surface area of frustum of cone?

What is the lateral surface of frustum of cone? The lateral surface of the cone is same as its curved surface area. Hence, LSA = πl(R – r) Where r is the radius of upper circle or small circle of frustum and R is the radius large circle or base and l is the slant height.

How do you find the center of gravity of a trapezoid?

Center of gravity of trapezium can be determine by using formula h/3((b+2a)/(b+a)), where h is height, b is base and a is parallel side opposite to b.

What is the position of centre of gravity of a rhombus?

The centre of gravity of a rhombus is situated at the intersection point of the two diagonals of the rhombus.

What is the centre of gravity of a rectangular body?

The point through which the Whole mass of the body acts, irrespective of the position of the body, is known as centre of gravity (briefly written as c.g.). Centre of gravity of a rectangular body lies at the point of intersection of its diagonals.

How do you find the frustum of a cone?

When a cone is cut by a plane horizontally, parallel to base of the cone, then the lower part of the cone is called a frustum. What is the formula for frustum of a cone? The conical frustum formula of cone in terms of radius ‘r’ and height ‘h’ is given by; Slant height = √ ((r – r’) 2 + h 2)

How do you find the center of gravity of a cone?

Answer Wiki. The center of gravity of any cone is (the point which divides its axis so that) the portion (adjacent to the vertex is) triple (of the portion adjacent to the base). There is no demonstration of this lemma in his extant works. Knorr outlined a proof of this result following the geometrical reasoning of Archimedes.

What is a conical frustum?

A conical frustum is a Frustum created by slicing the top off a Cone (with the cut made parallel to the base). For a right circular Cone, let be the slant height and and the top and bottom Radii . Then This formula can be generalized to any Pyramid by letting be the base Areas of the top and bottom of the frustum.

How do you find the lateral surface area of a frustum?

The radius of circular top and base of frustum are 10m and 3m, respectively. The height of frustum is 24m. If the height of the cone is 28m, then find the lateral surface area of frustum. Thus, the problems based on frustum of solids and cones can be easily solved.