what would be the volume of the cone that has the same measurement as the cylinder above in the pic

do the working also ​

what would be the volume of the cone that has the same measurement as the cylinder above in the pic do the working also class=

Respuesta :

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Volume of cone will be ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{volume} \:  \:  \:   \:  \: \colorbox{white}{=}  \:  \:  \:   + \colorbox{white}{462 \: cm³ }}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's find the volume of cone with ~

  • radius (r) = 7 cm

  • height (h) = 9 cm

And as we know, volume of cone is equal to ~

  • [tex] \dfrac{1}{3}\pi {r}^{2} h[/tex]

now, let's plug in the values and find the volume ~

  • [tex] \dfrac{1}{ \cancel{3} }\times \dfrac{22}{\cancel{7}} \times \cancel{7 }\times 7 \times \cancel{9}[/tex]

  • [tex]1 \times 22 \times 7 \times 3[/tex]

  • [tex]462 \: \: {cm}^{3} [/tex]

Volume of cone is 462 cm³ = 462 ml