Question

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

Answer 1

@hairynmad

Answer 2

Find two separate volumes. You have a rectangular prism and a half cylinder.

Answer 3

formulas lol

Answer 4

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

Answer 5

so i would do 6*9*11

Answer 6

witch in that case would be 594

Answer 7

Yes, that's just the volume for the rectangular prism. Now you'll have to find the volume for the half cylinder as well.

Answer 8

okay but no numbers are given for the base or hight of the half cylinder for me to find the volume

Answer 9

They are given. Just look.

Answer 10

what's V for cylinder again?

Answer 11

so base is 9 or 6 and height is 11

Answer 12

for a cylinder V= B*h

Answer 13

height is right, 11
base is wrong

Answer 14

base is not 9 or 6????

Answer 15

for the answer choices there is no pi in any of the answers.

Answer 16

No, remember B is area so in square units so mm^2, not just mm or one dimensional

Answer 17

but witch one would i use to square in order to get the base?? 9 or 6

Answer 18

pi is included inside the answer

Answer 19

neither
try to find area of the base
NOT a line!!

Answer 20

how would I do that????

Answer 21

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

Answer 22

so i would times everything by 2 to get the full volume or wht

Answer 23

No, for cylinder the base is a circle
find area of the circle

Answer 24

A=pi*r^2

Answer 25

to find area, you need?

Answer 26

okay but whats going to be the Radius in order to do that

Answer 27

Yes, you need the radius. Look at the picture.

Answer 28

It shows the diameter.

Answer 29

it would be half of 9 witch is 4.5

Answer 30

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

Answer 31

which if its 4.5 and you square that it would be 20.25pi

Answer 32

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

Answer 33

you miscalculated somewhere on the cylinder

Answer 34

I calculated the right answer. It's one of the choices.

Answer 35

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

Answer 36

You did NOT account for half of the cylinder. You calculated it like it was a whole one. Take half of it.

Answer 37

so i have to divide the answer 222.75 by 2

Answer 38

Of course, it's not showing a full cylinder.

Answer 39

Vcyl=B*h
B=pi*r^2=pi*4.5^2
h=11
Vrect=LWH=11*9*6

Total Volume=Vrect + 0.5*Vcyl