Skittles10412
5. Find the volume of the composite space figure to the nearest whole number.
(1 point)
416 mm3
705 mm3
1,294 mm3
944 mm3
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Skittles10412
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Skittles10412
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@hairynmad
hairynmad
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Find two separate volumes. You have a rectangular prism and a half cylinder.
Skittles10412
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formulas lol
hairynmad
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Well, we just did the cylinder. Do the same as before and take half.
For the rectangular prism. V=L*W*H or just multiply all sides
Skittles10412
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so i would do 6*9*11
Skittles10412
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witch in that case would be 594
hairynmad
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Yes, that's just the volume for the rectangular prism. Now you'll have to find the volume for the half cylinder as well.
Skittles10412
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okay but no numbers are given for the base or hight of the half cylinder for me to find the volume
hairynmad
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They are given. Just look.
hairynmad
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what's V for cylinder again?
Skittles10412
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so base is 9 or 6 and height is 11
Skittles10412
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for a cylinder V= B*h
hairynmad
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height is right, 11
base is wrong
Skittles10412
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base is not 9 or 6????
Skittles10412
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for the answer choices there is no pi in any of the answers.
hairynmad
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No, remember B is area so in square units so mm^2, not just mm or one dimensional
Skittles10412
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but witch one would i use to square in order to get the base?? 9 or 6
hairynmad
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pi is included inside the answer
hairynmad
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neither
try to find area of the base
NOT a line!!
Skittles10412
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how would I do that????
hairynmad
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you have half a cylinder
so find the V like it's a full cylinder
then to find the volume, take half of the full cylinder
think of the base as a full circle
Skittles10412
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so i would times everything by 2 to get the full volume or wht
hairynmad
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No, for cylinder the base is a circle
find area of the circle
hairynmad
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A=pi*r^2
hairynmad
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to find area, you need?
Skittles10412
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okay but whats going to be the Radius in order to do that
hairynmad
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Yes, you need the radius. Look at the picture.
hairynmad
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It shows the diameter.
Skittles10412
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it would be half of 9 witch is 4.5
hairynmad
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right, now find the area then the volume of the half cylinder
then add V of half cylinder to V of rectangular prism and that's the answer
Skittles10412
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which if its 4.5 and you square that it would be 20.25pi
Skittles10412
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okay so the V of a rectagular prism is 594 and and the v of the half cylinder is 222.75 and i add that up it = to 816.75 witch is just 817 witch is not one of the choices
hairynmad
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you miscalculated somewhere on the cylinder
hairynmad
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I calculated the right answer. It's one of the choices.
Skittles10412
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i took 4.5^2 witch is 20.25 and that then becomes 20.25pi then i timed it by 11 and got 222.75
hairynmad
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You did NOT account for half of the cylinder. You calculated it like it was a whole one. Take half of it.
Skittles10412
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so i have to divide the answer 222.75 by 2
hairynmad
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Of course, it's not showing a full cylinder.
hairynmad
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Vcyl=B*h
B=pi*r^2=pi*4.5^2
h=11
Vrect=LWH=11*9*6
Total Volume=Vrect + 0.5*Vcyl