Question

If the dimensions of the following cylinder are quadrupled, what will be the volume of the new similar cylinder?

Answer 1

340,426.24 in.3 is the answer hope this helps :)

Answer 2

Answer:  First option is correct.

Explanation:

Since we have given that

Radius = 11 inches

Height = 14 inches

Now, according to question, we have mentioned that all the dimensions of the cylinder is to be quadrupled i.e. four times.

Then,

Radius is given by

$4\times 11=44 inches$

Height is given by

$14\times 4=56\ inches$

As we know the formula for " Volume of cylinder ":

$V=\pi r^2h\\\\V=3.14\times 44\times 44\times 56=340426.24\ in^3$

Hence, our volume of new similar cylinder is 340426.24 cubic in.

Therefore, First option is correct.