if the radii of the circular ends of a conical frustum bucket of 32 cm height are 40 cm and 16 cm find the capacity and TSA of the bucket
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if the radii of the circular ends of a conical frustum bucket of 32 cm height are 40 cm and 16 cm find the capacity and TSA of the bucket
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Answer:
By using formula for total surface area of Frustum we can find out the answer.
Step-by-step explanation:
Here bigger radii (R) = 40 cm .
smaller radii (r)= 32cm
Height = 16 cm
capacity of bucket= volume of frustum
capacity of bucket=1/3 π h ((R)^2 + r ^2 + R x r )
= 4089. 9 cm3
2) For finding TSA we need slant height i.e l
l^2 = h^2 + (R-r) ^2
= 256 + (40- 32 )^2
= 256 + (8)^2
= 256+64
= 320
l = square root of 320
l= 17.8
3) TSA of Bucket = π l (R+ r) + π R^2 + π r ^2
= π x 17.8 ( 40 +32) + π 40 ^2 + π 32^2
= 17.8*72 + 1024+1600*π
= approximately 9,520.96 cm2