3 years ago

How does the volume of a cylinder change when its diameter is tripled

Mathematics

2 answers:

guajiro [1.7K]3 years ago

8 0

Answer:

9πr²h

Step-by-step explanation:

cupoosta [38]3 years ago

5 0

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.

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