How do you find the volume of a frustum of a right circular cone?

Volume, V

1. For any Frustum, the volume is V=13(A1+A2+√A1A2)h. For frustum of right circular cone, A1=πR2 and A2=πr2. Thus,
2. V=13[πR2+πr2+√πR2(πr2)]h.
3. V=13[πR2+πr2+πRr]h.

What is the formula to find the volume of a cone or pyramid?

Volume of Pyramids or Cones = ⅓ Area of Base × height = 1/3Bh.

What is the volume of a square frustum?

Consider a frustum of radii ‘R’ and ‘r’, and height ‘H’ which is formed by a cone of base radius ‘R’ and height ‘H + h’. Its volume (V) can be calculated by using: V = πh/3 [ (R3 – r3) / r ] (OR)

What is the formula of volume of frustum?

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 volume formula of frustum?

How do you calculate the volume of a frustum?

There are two formulas that are used to calculate the volume of a frustum of a cone. Consider a frustum of radii ‘R’ and ‘r’, and height ‘H’ which is formed by a cone of base radius ‘R’ and height ‘H + h’. Its volume (V) can be calculated by using: V = πh/3 [ (R3 – r3) / r ] (OR)

How do you calculate volume of a frustum?

What is CSA frustum?

What is CSA of a frustum? The curved surface area of frustum of a cone is given by; CSA = 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 volume of a frustum of a pyramid?

Derivation of formula for volume of a frustum of pyramid/cone Frustum of a pyramid and frustum of a cone The formula for frustum of a pyramid or frustum of a cone is given by V = h 3 [ A 1 + A 2 + A 1 A 2]

What is the formula for volume of frustum of cone?

What is the formula for volume of frustum of cone? Volume of frustum of cone = πh/3 (R 2 +r 2 +Rr) Where R is the radius of bottom surface, r is the radius of top surface and h is the height of frustum.

How do you find the volume of a cone with radius?

If radius of base of frustum is R and top of frustum is r, then the volume can be represented by: Volume of frustum of cone = πh/3 (R2+r2+Rr) If radius of base of frustum is r 1 and top of frustum is r 2 then the volume can be represented by: Volume of frustum of cone = πh/3 (r12+r22+r1r2)

What is the volume of the drum of the cone?

Using the formula for the volume of the frustum of the cone the Volume (V) of the drum shall be: 1/3πH (R 2 + Rr + r 2) The Drum stores milk of cost = Rs 3,638.25.