Question

MEDAL & FAN ANYBODY ?
If the height and radius of a cone are tripled, then the volume will be 9 times the original size.
True
False

Answer 1

a very simply solution to this is find the volume of 2 cones.

1. a cone radius 1 height 1

\[V = \frac{1}{3} \pi \times 1^2 \times 1 = \frac{1}{3} \pi\]

then tripling these measures you will have


2. radius 3 and height 3

now find the volume of the 2nd cone anc compare them

Answer 2

or you can wait for someone to post an answer

Answer 3

the volume of any shape is proportional to the CUBE of its dimensions

so for instance if the dimension (eg radius) then is 1 a shape with radius 2 will have volume 2^3 times the original.
The same applies for radius 3.....

Answer 4

@campbell_st so i would multiply ?

Answer 5

what did you get for the volume of the cone where the measurements were tripled

r = 3 and h = 3

\[V = \frac{1}{3} \times \pi \times 3^2 \times 3\]

Answer 6

and if you look carefully at the formula