Question

Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m.2 m10 m2 mWhat is the volume of the figure?Give an exact answer in terms of pi.ImReport a problemStuck? Watch a video or use a hint.

Answer 1

This shape is 1/4 of a cylinder

Therefore its volume = volume of a cylinder / 4

`\begin{gathered} The\text{volume }of\text{ cylinder }is \\ \pi* r^2* h \end{gathered}`
`\begin{gathered} \text{volume of shape = }(\pi* r^2* h)/(4) \\ V\text{ = }(\pi*2^2*10)/(4) \end{gathered}`

v = ( 40pi)/4

v = 10pi cubic meter

`v\text{ = 10}\pi m^3`