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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.

Sagot :

This shape is 1/4 of a cylinder

Therefore its volume = volume of a cylinder / 4

[tex]\begin{gathered} The\text{volume }of\text{ cylinder }is \\ \pi\times r^2\times h \end{gathered}[/tex][tex]\begin{gathered} \text{volume of shape = }\frac{\pi\times r^2\times h}{4} \\ V\text{ = }\frac{\pi\times2^2\times10}{4} \end{gathered}[/tex]

v = ( 40pi)/4

v = 10pi cubic meter

[tex]v\text{ = 10}\pi m^3[/tex]

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