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Mathematics 6 Online
OpenStudy (anonymous):

Can someone check my answer

OpenStudy (anonymous):

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 36 inches and a height of 24 inches. How many times bigger is the volume of pyramid B than pyramid A?

OpenStudy (anonymous):

9984 is my answer

OpenStudy (paki):

find the volume of each and then divide the volume of the one the left with the volume of the one of the right... using this formula... V=1/3(l*w*h)...

OpenStudy (anonymous):

V=a^2h/3 i though this was the volume of the square pyramid

OpenStudy (paki):

no, this is wrong formula as far i know,,, i have written the correct formula... solve over that and see what happens...

OpenStudy (anonymous):

i never learned doing it your way i only know how to do it the v = a^2h/3 and a = base edge is it ok if you teach me your way?

OpenStudy (paki):

what you want to ask... tell me... i will guide you...

OpenStudy (anonymous):

ok so i just don't know the lenght and the width idk which numbers does are

OpenStudy (paki):

hmmm ok... here we have the height of this as 8 inches... ok... and the length and base as 12, AS THE PYRAMID IS SQUARE... put these values in the formula and tell me, what you got the value, for the first pyramid...

OpenStudy (anonymous):

|dw:1398613592765:dw|

OpenStudy (anonymous):

is this how the first one will look?

OpenStudy (paki):

yeah... rite... good.. now proceed...

OpenStudy (anonymous):

so will it be v = 1/3 (12 x 12 x 8)?

OpenStudy (anonymous):

and if that is correct then i got 384

OpenStudy (paki):

yes... rite... excellent... i also got 384... now solve for the second...

OpenStudy (anonymous):

i meant 10368

OpenStudy (anonymous):

and this is what i got earlier then i did 10368 - 384 = 9984?

OpenStudy (paki):

yup mine one is 10368 too... :-)

OpenStudy (paki):

no... the next step we will have not the subtraction... we here want to find the RATIO... so just 10368/384 = 27... so it means that these have a difference of 27... mean one is 27 TIMES larger than the second one...

OpenStudy (anonymous):

ohhhhh ok so i just need to divide and that gave us 27 and i'm not supposed to subtract ok ok i see hat i did wrong btw are you a girl or boy?

OpenStudy (paki):

yup... we will divide here... :-)

OpenStudy (paki):

i am a boy... why...?

OpenStudy (anonymous):

i was just wondering lol i'm doing a little servey to see who helps more in this site girls or boys

OpenStudy (anonymous):

can i get a medal ^.^ and can you help me with others like you did with this one

OpenStudy (paki):

hmm... i will try... post here... :-)

OpenStudy (anonymous):

ok thank you

OpenStudy (paki):

and what is your gender...

OpenStudy (paki):

pleasure

OpenStudy (anonymous):

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder. Each cone of the hourglass has a height of 18 millimeters. The total height of the sand within the top portion of the hourglass is 54 millimeters. The radius of both cylinder and cone is 8 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?

OpenStudy (anonymous):

and i'm a girl

OpenStudy (anonymous):

and my asnwer is 268.8?

OpenStudy (paki):

let me solve ist...

OpenStudy (paki):

you know what is the formula for the volume of a CONE....?

OpenStudy (paki):

@shinebrightlikeadimon

OpenStudy (anonymous):

yes it's v = pir^2h/3

OpenStudy (paki):

hmmm yup, its V= 1/3 (pie * r^2 * h)

OpenStudy (anonymous):

do you wan me to do it?

OpenStudy (paki):

here we will have the volume of the cone and it will be (1/3 pi 8^2 * 18) = 64*6* pi... and the volume of the cylinder is (54-18) * pi * 8^2 = 36*64*pi... now add up to get 2688 pi... now divide by how fast the sand is leaving: 10 pi mm^3 / sec you get 268.8 secs... so your answer is rite :-)

OpenStudy (anonymous):

yay i'm so happy i'm getting these correct btw i have 3 more and i got the answers for them i just need you to check them if you can please? and how old are you

OpenStudy (paki):

yeah, will try... post here...

OpenStudy (paki):

i am 22.. and you...?

OpenStudy (anonymous):

A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom. The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?

OpenStudy (anonymous):

4.43 in^3 <---- my answer and i'm 13

OpenStudy (paki):

you know the volume of cone = V= 1/3 (pie * r^2 * h)... and the volume of the bubble gum = V = 4/3 ( pie * r^3)... just put values and the subtract... and see what happens...

OpenStudy (anonymous):

i got 8.177?

OpenStudy (paki):

no... i got here as 4.4320 in^3...

OpenStudy (anonymous):

oh lol i i see thats what i got the first time

OpenStudy (anonymous):

idk how i got 8.177 the second time

OpenStudy (paki):

yup that was the correct :-)

OpenStudy (paki):

you got 8.17 because your calculations were wrong :-)

OpenStudy (anonymous):

yah thats probably it lol thanks if i'm not bothering you i got 2 more and you don't have to help if you don't want to

OpenStudy (paki):

i will help... post it...

OpenStudy (anonymous):

A grain silo is shown below. What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi. i got 35654 but in my answer choice 35654 is closest to 35,669 ft^3 so thats what i chose

OpenStudy (anonymous):

OpenStudy (paki):

Volume for shpere=2/3 pi r^3... and Volume for cylinder = pi r^2 h.. put the values and see... Volume for shpere=2/3 pi r^3... Volume for cylinder = pi r^2 h V(total) =(2/3 pi 8^3)/2+(172 pi 8^2) = 535+34565.12 = 35100

OpenStudy (paki):

@shinebrightlikeadimon

OpenStudy (anonymous):

oh i don't have that in my answer choice these are my choices 34,597 ft3 11,532 ft3 35,669 ft3 2,146 ft3

OpenStudy (paki):

correct answer is 35669.... :-) so we are near to this

OpenStudy (anonymous):

ok and i have one more

OpenStudy (anonymous):

If the volume for 3-D polyhedra A is 400 cm3 and the volume for 3-D polyhedral B is 800 cm3, what is the percent of change from A to B? answer 200% idk how but my friend help me with this and got 200% but didn't explain how can you see if she did it correct and explain how for me please

OpenStudy (paki):

ohh soorry...i have written the formula in correct... see it... i have written Volume for shpere=2/3 pi r^3... and

OpenStudy (paki):

IT IS 4/3 pi r^3....

OpenStudy (anonymous):

for which one?

OpenStudy (anonymous):

the cone or cylinder

OpenStudy (paki):

for the volume of sphere

OpenStudy (paki):

so our answer was incorrect due to this mistake... put it rite and solve, you will get the rite answer...

OpenStudy (anonymous):

ok so what do you want me to do exactly?

OpenStudy (paki):

JUST make correction in the formula of the previous question and solve then... you will get the rite answer..

OpenStudy (paki):

the last one question is sooooooooooooooo simple... you know how to find the change in percentages....?

OpenStudy (anonymous):

no i don't can you teach me please?

OpenStudy (paki):

800/400 = 2... and by the definition of percentage... 1=100% so 2=200%

OpenStudy (paki):

@shinebrightlikeadimon

OpenStudy (anonymous):

but shouldn't it be 200%^3 since the 400 and 800 are cubed?

OpenStudy (paki):

no... we have the volume... not the length of any side

OpenStudy (anonymous):

oh ok ok omg thank you so much you are such a great help and i hope your smartgoal goes up to a 99 because you are smart :)

OpenStudy (paki):

ahhh thanks.... and so nice of you for your nice comments :-)

OpenStudy (anonymous):

you deserved them well i gtg i have soccer practice

OpenStudy (paki):

ahhh good... enjoy...

OpenStudy (paki):

for any help tag me in question, i will be there...

OpenStudy (anonymous):

i will thank you !

OpenStudy (paki):

:-)

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