Question

Are the two cylinders similar? The diagrams are not drawn to scale.

a) no
b) yes
c) impossible to tell


for search: 8.32 10.192 2.6 3.64

thank you!

Answer 1

Surface Area and Volume Unit Test

1. 14

2. hexagon

3. 224 m2

4. 896 pi in.2

5. 405 in.2

6. 49,009 m2

7. 4,910.4 yd3

8. 3.6 in

9. 4,608 cm3

10. 1,296 cm3

11. 1,442.0 yd3

12. 2,158 m2

13. no

14. 7 : 10

15. 100 m2

16. one-point perspective

17. 18.3 cm

Answer 2

a) no

Explanation:

-The diagrams can be said to be mathematically similar if the dimensions of their corresponding sides enlarge or reduce by the same factor.

-We therefore determine the enlargement factor for both the radius and height as below:

-Let k be the scale factor

`k_r=(R)/(r)\\\\=(3.64)/(2.6)\\\\=1.4\\\\k_h=(H)/(h)\\\\=(10.192)/(8.32)\\\\=1.225\\\\k_r\\eq k_h`

Hence, the cylinders are not mathematically similar since the enlargment factors for the radius and height are not equal.