find the curved surface area of a frustum of a cone whose hight is 16cm and radii of its two ends as 8cm and 20cm respectively?
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find the curved surface area of a frustum of a cone whose hight is 16cm and radii of its two ends as 8cm and 20cm respectively?
plxx gave meh right answer
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Answer:
Curved Surface area of a frustum of a cone =πl(r
1
+r
2
) where l is the slant height =
h
2
+(r
1
−r
2
)
2
h is the height.
r
1
and r
2
are the radii of the lower and upper ends of a frustum of a cone.
So, l=
16
2
+(20−8)
2
∴l=20cm
Hence, Curved surface area of this frustum of a cone =π×20×(20+8)=560πcm
2
Verified answer
Answer:
560πcm
Step-by-step explanation:
Curved Surface area of a frustum of a cone =πl(r1+r2) where l is the slant height =h2+(r1−r2)2 h is the height.
r1 and r2 are the radii of the lower and upper ends of a frustum of a cone.
So, l=162+(20−8)2
∴l=20cm
Hence, Curved surface area of this frustum of a cone =π×20×(20+8)=560πcm2
Hope you understand
Thank you