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# Find surface area and volume of object through 180 degrees of rotation

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Calculate the volume and total surface area of a shape that has been rotated through 180 degrees.

https://brainmass.com/engineering/mechanical-engineering/surface-area-and-volume-of-object-96269

#### Solution Preview

Determine the volume and total surface area of the body.

Please show all steps in detail.

NOTE: we can take this object a hallow half frustum cone .

a1= 94 a2= 42
b1= 20 b2=20
h1= 60 h2=60

1) Volume = (1/3) Phi (h)( a^2 + ab + b^2)

Volume of object = Volumeof OuterObject - Volumeof InnerObject
note: object is in shape of truncated cone
applying volume of

Volumeof OuterObject ...

#### Solution Summary

The solution explains how to calculate the volume of the given solid after rotation.

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