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 2021-03-11 Answered
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?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

stuth1
Answered 2021-03-12 Author has 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

Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-10-26 Author has 2313 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions