How do you find the area of a frustum?
Answer: The Curved Surface Area (CSA) of the frustum of a cone is: = pi * l(R + r) where the (r) stands for = radius of the smaller circle and (R) stands for = radius of the bigger circle and the (l) = slant height of the frustum.
How do you find the surface area and volume of a frustum?
For the total surface area, of a frustum of a right circular cone is given by the sum of the lateral surface area and area of the two bases. The volume of a frustum of a circular cone is equal to one-third of the sum of the two base areas and the square root of the two base areas, multiplied by the altitude.
What is the volume of frustum shown in Figure?
V = 359 cm³ Hence, the volume of the frustum shown in the figure is 359 cm³.
Is volume of cone given in GCSE?
The formula for the volume of a cone is given in the GCSE exam but not for the pyramid, so make sure you can remember it.
How do you find the surface area and volume of a cone?
Circular Cone Formulas in terms of radius r and height h:
- Volume of a cone: V = (1/3)πr2h.
- Slant height of a cone: s = √(r2 + h2)
- Lateral surface area of a cone: L = πrs = πr√(r2 + h2)
- Base surface area of a cone (a circle): B = πr.
- Total surface area of a cone: A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
How to find the surface area and volume of a frustum?
In a given frustum of a right circular cone, the radius of the lower base is 30 feet, while the radius of the upper base is 15 feet. If the altitude of the frustum is 20 feet, find the total surface area and volume of the frustum.
How to find the slant height of a frustum?
To determine the slant height (l) from the given radii of the bases and the altitude of the frustum, consider the projected trapezoid of the frustum to a plane. Using the Pythagorean Theorem, the equation will be: The area of a conical surface of the frustum is the lateral surface area of the frustum.
How tall is the frustum of a cone?
A cone is cut by a plane horizontally. 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.
How tall is a bucket with a frustum?
If the radii of the circular ends of a conical bucket are 28 cm and 7 cm, whose height is 45 cm. Find the capacity of the bucket. The radii of the circular ends of a frustum of height 6 cm are 14 cm and 6 cm respectively.