Question

Choose all the cylindrical containers that will hold at least 50 cm but not more than 55 cm- of a liquid. (a)radius = 2 cm height = 4.1 cm (b)radius = 2.2 cm height = 3.2 cm(c)radius = 2.5 cm height = 2.7 cm (d)radius = 2 1 cm height = 3.8 cm

Answer 1

Volume, V, of a cylinder with base radius, r, and height, h

is given by:

`\begin{gathered} V=\pi* r^2* h \\ \pi\approx3.142 \\ \text{Hence} \\ \text{If r=2 and h=4.1} \\ V=3.142*2^2*4.1\approx51.52 \\ if\text{ r=2.2 and h=3.2} \\ V=3.142*2.2^2*3.2\approx48.66 \\ \text{if r=2.5 and h=2.7} \\ V=3.142*2.5^2*2.7\approx53.01 \\ \text{if }r=2.1\text{ and h=3.8} \\ V=3.142*2.1^2*3.8\approx52.64 \end{gathered}`

Therefore cylindrical containers with dimensions as shown in options (a), (b), and (c) satisfy the given condition