Q:

Which expression represents the volume, in cubic units, of the composite figure?a) π(103) + π(102)(28)b) π(203) + π(202)(28)c) 2π(103) + π(102)(28)d) 2π(203) + π(202)(28)

Accepted Solution

A:
we can see that there are two hemispheres and one cylinderso, we will find volume of each and then we combine them Hemisphere:we can see that diameter=20so, radius =10[tex] r=10 [/tex]now, we can use volume formula [tex] V=\frac{2}{3}\pi r^3 [/tex]now, we can plug values[tex] V=\frac{2}{3}\pi (10)^3 [/tex][tex] V=\frac{2000}{3}\pi  [/tex]Cylinder:now, we can find volume of cylinder[tex] r=10 [/tex][tex] h=28 [/tex]we can use formula [tex] V=\pi r^2 h [/tex]now, we can plug valueswe get [tex] V=\pi (10)^2 *28 [/tex]now, we can find total volume [tex] V=2*\frac{2}{3}\pi (10)^3 +\pi (10)^2 *28 [/tex][tex] V=2\pi *\frac{2}{3} (10)^3 +\pi (10)^2 *28 [/tex].............Answer