Question

Bryn is drawing a scale diagram of a building.
For every 10 m of the building he draws a line 5 cm long.
Bryn thinks he is using a ratio of 2 : 1. Alun thinks Bryn is using a ratio of 200: 1.
Is either of them correct? Explain your answer.​

Answer 1

Answer:

Correct option is A)

For the given statement first draw a diagram,

In this diagram, we can observe that

Height (h

1

) of each conical part =2 cm

Height (h

2

) of cylindrical part 12−2−2=8 cm

Radius (r) of cylindrical part = Radius of conical part =

2

3

cm

Volume of air present in the model = Volume of cylinder + 2× Volume of a cone

=πr

2

h

2

+2×πr

2

h

1

=π(

2

3

)

2

×8+2×

3

1

π(

2

3

)

2

(2)

=π×

4

9

×8+

3

2

π×

4

9

×2

=18π+3π=21π

=21×

7

22

=66 cm

2

Step-by-step explanation:

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