85.0k views
3 votes
A student said the volume of a cylinder with a 3 inch diameter is two times the volume of a cylinder with the same height and a 1.5 radius, what is the error?

User Kanivel
by
8.6k points

1 Answer

4 votes
so
volume=height times pi times radius^2
v=(h)(pi)(r^2)
so we shall see if it is true
r=3 and r=1.5
(h)(pi)(3^3)=2 times (h)(pi)(1.5^2)
we can divide both sides by hpi
3^3=2 times 1.5^2
9=2 times 2.25
9=4.5
false

the errror was that the person didn't take into account the squareing part in the volume formula
User BogdanM
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.