58.0k views
3 votes
How does the volume of a cylinder change when its diameter is tripled

User Adesina
by
8.8k points

2 Answers

6 votes

Answer:

9πr²h

Explanation:

User Alon Rosenfeld
by
8.5k points
5 votes
V(cylinder)= πr²h
d=2r,
d is diameter, r is radius.
When diameter is tripled, a new diameter D=3d,
new radius R=3d/2=(3*2r)/2=3r
R=3r

V(new cylinder)= πR²h = π(3r)²h=9πr²h

V(new cylinder)/V(cylinder)=9πr²h/πr²h=9

Volume new cylinder 9 times more the volume of old cylinder.




User Never Quit
by
7.9k points

No related questions found

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