Write the volume of frustum of cone.
Answers
Answer:
Volume of frustum of cone.
- 1/3πh (r1² + r2² + r1r2 )
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Q .Write the volume of frustum of cone.
Ans : The formula for the volume of a cone is V=1/3hπr².
Topic explanation
Frustum Of A Cone
Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base. Both pieces have different volumes and areas. Learn Volume Of Cone here.
Volume of the Frustum cone
Basically a frustum of a cone is formed when we cut a right-circular cone by a plane parallel to its base into two parts. Hence, this part of the cone has its surface area and volume. Volume of frustum of cone = πh/3 (r1²+r2²+r1r2)
Related Questions
Q . What is a frustum of 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.
Q . 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.
Q . 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.
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