Question

PLEASE help me on these 2 geometry problems? My assignment is due and I don't even know where to begin.

Answer 1

the heights are missing for both

Answer 2

does it tell you how long the straw is overall?

Answer 3

Yeah, more info is necessary. Are you sure nothing else is being given you?

Answer 4

Oh, yeah sorry I left out the beginning. :o Here's the prompt-
"You are in charge of designing containers for a new brand of juice. Your company wants you to compare several different container shapes. The container must hold a 6-inch straw so that exactly 1 inch remains outside the container when the straw is inserted as far as possible. Answer these questions about two possible shapes."

Answer 5

for the cylinder, you need to solve for to get the height

Answer 6

so h would be 3

Answer 7

good

Answer 8

now you can use the surface area of a cylinder formula

SA = 2pi*r^2 + 2*pi*r*h

keep in mind that the radius is 2 inches

Answer 9

62.8?

Answer 10

good

Answer 11

for the square prism, you need to solve for h


3^2 + 3^2 + h^2 = 5^2

Answer 12

7?

Answer 13

more like \(\large \sqrt{7}\)

Answer 14

ohh so 2.6?

Answer 15

keep things exact for now, but yes, it's approximately equal to that

Answer 16

so,

L = 3, W = 3, H = sqrt(3)

Surface Area of a Rectangular Prism

SA = 2*(LW + LH + WH)

SA = 2*(3*3 + 3*sqrt(7) + 3*sqrt(7))

SA = 2*(9 + 3*sqrt(7) + 3*sqrt(7))

SA = 2*(9 + 6*sqrt(7))

SA = 18 + 12*sqrt(7)

SA = 49.749015732775

SA = 49.7

Answer 17

oh sry typo, I meant to say H = sqrt(7), not H = sqrt(3)

Answer 18

ohhh okay that makes sense. Thank you! Do you think you could help me on 2 follow up problems with those same measurements but for volume?

Answer 19

sure

Answer 20

use this formula to find the volume of the cylinder

V = pi*r^2*h

Answer 21

and use this formula to find the volume of the rectangular prism

V = L*W*H

Answer 22

and you'll have to convert from cubic inches to ounces (so don't forget that step)

Answer 23

Okay for the volume of the cylinder I got 37.7, but I'm not sure how to convert it..

Answer 24

you would multiply by 0.55 to convert (since 1 in^3 = 0.55 oz, roughly)

Answer 25

Okay so the final answer I got for the cylinder is 20.7. but I keep getting 8.58 for the other one, which doesn't make sense..

Answer 26

for the prism, L = 3, W = 3, H = sqrt(7)

Answer 27

what is the volume of the prism?

Answer 28

63?

Answer 29

no not 7, the square root of 7

Answer 30

ohhhh 23.8, and then for the converted number, 13.1?

Answer 31

yep

Answer 32

ahhh thank you so much.

Answer 33

you're welcome