Total Surface Area of Frustum
Total Surface Area of Frustum
Total Surface Area of Frustum: If a cone is cut by a plane parallel to the base of the cone, then the portion betweenthe plane and base is called the frustum of the cone. Let "h" be the height, "l" the slant height and and
the radii of the ends
of the frustum of a cone.Then we can directly find the total surface are of frustum by using the formulae given below : Total surface area of the frustum of the cone
OR it can be expressed as Total surface area of bucket
Example: If the radii of the ends of the frustum of 24 cm high cone are 5 cm and 15 cm, find the total surface area of the bucket.
Solution: If R and r be the radii and h the height and l the slant height of the frustum of the cone, then. Hence l = 26cm
Total surface area
An oil funnel made of tin sheet consists of a 10 cm long cylindrical portion attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylinderical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel. | |||
| Right Option : D | |||
| View Explanation | |||
A fez, the cap used by the turks, is shaped like the frustum of a cone. if its radius on the open side is 6 cm, radius at the upper base is 2 cm and its slant height is 12 cm, find the area of material use for making it. | |||
| Right Option : B | |||
| View Explanation | |||
The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18cm and 6cm. Find the curved surface area of the frustum. | |||
| Right Option : C | |||
| View Explanation | |||
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