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Respuesta :

Answer:

Q. 3

[tex]V_{cone} =565.2\: cm^3 [/tex]

Q. 4

[tex] V_{cone} =3,014.4\: cm^3 [/tex]

Step-by-step explanation:

Q. 3

Radius of the cone (r) = 6 cm

Height of the cone (h) = 15 cm

[tex]\because V_{cone} =\frac{1}{3} \pi r^2 h[/tex]

[tex]\therefore V_{cone} =\frac{1}{3}\times 3.14 (6)^2 (15)[/tex]

[tex]\therefore V_{cone} =\frac{1}{3}\times 3.14 (36) (15)[/tex]

[tex]\therefore V_{cone} =565.2\: cm^3 [/tex]

Q. 4

Radius of the cone (r) = 12 cm

Height of the cone (h) = 20 cm

[tex]\because V_{cone} =\frac{1}{3}\pi r^2 h[/tex]

[tex]\therefore V_{cone} =\frac{1}{3}\times 3.14 (12)^2 (20)[/tex]

[tex]\therefore V_{cone} =\frac{1}{3}\times 3.14 (144) (20)[/tex]

[tex]\therefore V_{cone} =3,014.4\: cm^3 [/tex]