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A sphere has a volume of 972π in.3. Find its radius.

same as above
V = 4/3 pi r^3 = 972
solve for r

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l is 45

no
(1/2)*6*L = 45
solve for L by multiplying 6 and 1/2, then dividing on both sides

i got 15

correct, good job

ok for this one can you tell me the volume formula for cylinder?

basexheight

good
base is a circle, whats the area of a circle?

pir^2

good
V = (pir^2)*h
pi*r^2*8 = 628

multiply 8*pi
divide on both sides

78.5

dont forget about pi (use3.14)
r^2 = 78.5/pi
divide 78.5/3.14
then take the square root to get r

4.99

correct

actually with rounding to nearest .1 it would just be 5

to answer this we need to find radius
what is circumference of circle

so that mean 22

good but we still need to divide by pi (3.14)

2pi*r =44
pi*r=22
r=22/pi

7.00

good
next we use volume of cone formula

so that i use 1/3bh

yes
b = area of circle w/ radius of 7

use what you do know to find what you don't

49pi

good
V = 1/3 * 49pi*5
multiply it out

with pi?

yes

256.56

good now round to nearest foot

257

don't forget your units

thanks kristo, forgot about that

no problem

alright first you need to find the volume of the water on its smallest face

1080

one sec i will be right back...

ok i'm back

so what might be a good idea is to draw a picture first which face would be the smallest?

i drew what next

that make 72

720 6x12x10 remember to include WxLxH

then

so i would draw a picture of the new rectangle first what is the W and the L of the base?

hint: largest face

12 and 10

12 and 15

180

use the volume formula we found before 720

720=15x12xH

i got 4 for height

great

now subtract that from six since it wants the height from the top of the prism

yes

do you really understand how we got that?

well some of the time

does that help to picture the problem a little better?

yes so BxH

yes!

or length times width times height = volume

but you got the concept

i have to sleep now but good luck

we know that 4 is the height so we need to find the base

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