A solid is formed by cutting a conical section away a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?

DofotheroU

DofotheroU

Answered question

2021-03-11

A solid is formed by cutting a conical section away a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?

Answer & Explanation

stuth1

stuth1

Skilled2021-03-12Added 97 answers

Step 1
Find the volume of the resulting solid.
Step 2
Let the volume of the circular cylinder be V1 and let the volume of the right circular cone be V2.
A solid formed by cutting a conical section away from a right circular cylinder.
Find the volume V1.
V1=πr2h
=π(6)2(8)
=288 π
Find the volume V2.
V2=13πr2h
=13π(62(8))
=96 π
Step 3
Find the volume of the resulting solid.
V=V1V2
=288π96π
=192 π
603.192
Hence, the volume of the resulting solid 603.192

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-26Added 2605 answers

Answer is given below (on video)

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