Respuesta :

Step-by-step explanation:

☄ [tex] \underline{ \underline{ \text{Given}}} : [/tex]

  • Diameter ( d ) = 8 inches
  • Radius ( r ) = [tex] \sf{ \frac{d}{2} = \frac{8}{2} = 4 \: inches}[/tex]
  • Height ( h ) = 10 inches
  • pi ( π ) = 3.14

☄ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

  • Volume of a cone

☄ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \sf{Volume \: of \: a \: cone \: ( \: V \: ) = \pi \: {r}^{2} \frac{h}{3}} [/tex]

Plug the known values :

⟼ [tex] \sf{3.14 \times {4}^{2} \times \frac{10}{3}} [/tex]

⟼ [tex] \sf{3.14 \times 16 \times \frac{10}{3}} [/tex]

⟼ [tex] \sf{167.47 \: {inches}^{3}} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⟿ \:Our \: final \: answer : \boxed{ \tt{167.47 \: {inches}^{3} }}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night !

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