Question

The small cylinder can fill

Answer 1

Answer:

5.857 cm

Step-by-step explanation:

A cylinder's volume is given by the formula:

$V=\pi r^2h$

-The small cylinder's dimensions are d=7, h=14, it's volume is calculated as:

$V=\pi r^2h\\\\=\pi \times (7/2)^2\times 14\\\\=171.5\pi$

We are told that this volume fills the big cylinder to a height of 5cm.

#We equate this volume to the big cylinder's 5cm and solve for r:

$V=\pi r^2h\\\\171.5\pi=\pi r^2\times 5\\\\171.5=5r^2\\\\r=\sqrt{171.5/5}\\\\=5.857 \ cm$

Hence, the radius of the big cylinder is 5.857 cm