Question

what happens to the volume of a come if both radius and height get doubled

Answer 1

what's the formula for the volume of a cone?

Answer 2

1/3pir^2h, right

Answer 3

so if we double the radius and height, it becomes 1/3 pi (2r)^2 2h

Answer 4

so its quadrupled???

Answer 5

nope, increased by a factor of 8

Answer 6

wait no srry

Answer 7

wait wht do u mean?

Answer 8

the two is squared, and times the other 2 it equals 8

Answer 9

1/3 4r 2h

Answer 10

i still dont understand

Answer 11

the 2r is squared.

Answer 12

because its r^2 originally, so if we double the radius, it becomes (2r)^2

Answer 13

ohh ok i got it nvm thanks you

Answer 14

No problem

Answer 15

\(\bf volume=\cfrac{\pi r^2 h}{3}\quad \textit{doubled "h" and "r"}\implies \cfrac{\pi (2r)^2 2h}{3}\\ \quad \\
\implies \cfrac{\pi 2^2r^2 2h}{3}\implies \cfrac{\pi r^2 h}{3}\cdot (2^2\cdot 2)\implies \cfrac{\pi r^2 h}{3}\cdot 8\)