100 POINTS!!!!
Two cylinders are similar with diameters 6 in and 9 in.
a. Find the ratio of the circumference of their bases


b. Find the ratio of the surface areas.



c. Find the ratio of the volumes.

Respuesta :

  • d=6in,9in
  • r=3in,4.5in

circumference:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

LSA:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

TSA

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]

[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]

[tex]\\ \sf\longmapsto 7:15[/tex]

Volume:-

[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6^2}{9^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]