Question

a town planner creates plans for a new water tower. tower is 96 feet tall and the tank is circular of 64 feet
1. the engineer builds a model of the tower of 1 inch : 8 feet. what are the dimensions of the model?
2. supposed the engineer decides to build a second model such that the height of model is 30 inches. what is the scal for the model? @Directrix

Answer 1

I think there is a missing word here: tank is circular of 64 feet.

Tank is circular what of 64 feet.

Answer 2

diameter

Answer 3

I'm not understanding:

Tank is circular diameter of 64 feet?

Is there a diagram or picture of the tank in your book?

What shape is the tank? Is is a right circular cylinder? Is it a sphere atop supports?

I just need more information.

Answer 4

the tank is circular WITH a diameter of 64 feet. sorry im just really tired

Answer 5

No problem with that.

Answer 6

The tank and the model will be similar figures or solids. I'm thinking the engineer is drawing the model on paper.

x = model tower height in inches

1in is to 8 ft as x in is to 96 ft

1/8 = x/96

x = ?

Answer 7

x=12?

Answer 8

Yes.

Answer 9

y = model tank diameter in inches

1/8 = y/64

y = 8 inches

We already have x = 12 inches.

So, that is part 1.

Answer 10

so is the answer the model is 12 inches tall and 5 1/3 inches in diameter and the scale of the is 1 inched : 3 1/6 feet?

Answer 11

Are you saying you think that is the answer for part 2?

Answer 12

yes

Answer 13

what is the scale for the model?

30 inches to 96 feet is 5 inches to 16 feet.

One inch on the model represents 16/5 feet on the real tower.

Answer 14

Are your answer options in feet and inches or all in inches or all in feet?

Answer 15

feet and inches

Answer 16

Then, one inch on the model is 3.2 feet on the actual tower.

Answer 17

1. the engineer builds a model of the tower of 1 inch : 8 feet. what are the dimensions of the model?
Here, we got 12" for the height of the model.
The circular base is 8 inches in diameter? Did we check that?

Answer 18

2. 2. supposed the engineer decides to build a second model such that the height of model is 30 inches. what is the scal for the model?

This ^^ just asks for the scale.

Then, one inch on the model is 3.2 feet on the actual tower. Did we agree on that?

Answer 19

yes

Answer 20

>>>so is the answer the model is 12 inches tall and 5 1/3 inches in diameter <-- I got 8 inches for the diameter. You have 5 1/3

and (2) the scale of the is 1 inch : 3 1/6 feet? <--- I got 3 1/5 here where you got 3 1/6.

Answer 21

Do we need to re-work any of this?

Answer 22

If you post the options on the thread, I can see them. After we match our answers to the correct option, you can delete the options.

Answer 23

answer choice a is the model is 8 inches tall 6 1/3 inches in diameter. the scales of the second is 1 inch : 3 1/2 feet
answer choice b is the model is 12 inches tall and 5 1/3 inches in diameter the scale of the second model is 1 inch : 3 1/6 feet.
answer choice c is the model is 14 inches tall and 5 1/2 inches in diameter. the scale of the second model1 inch : 38 feet

Answer 24

This one is the closest to being correct that I see:

answer choice b is the model is 12 inches tall and 5 1/3 inches in diameter the scale of the second model is 1 inch : 3 1/6 feet.

Answer 25

Would you look and see if there is a typo in the diameter of the tower >>>tank is circular of 64 feet. Is the diameter supposed to be 64 feet?:

Answer 26

yes

Answer 27

Is there an option D?

Answer 28

If not, I would have to go with B if it were my work.

I think there's a typo in the printing of the problem.

Answer 29

no

Answer 30

The tower model is 12". We can't go against that.

Answer 31

are they similar?

Answer 32

Are there any marked parallel segments?