Respuesta :

Answer:

→ 310.9 in³

Step-by-step explanation:

Given :

A solid in shape of cylinder whose ,

  • Diameter = 6 in

  • Height = 11 in

We have to find :

  • Volume of given cylinder

Solution :

We know that —

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\sf{Volume_{(Cylinder)}= \: \pi r {}^{2}h }}[/tex]

Where ,

  • r refers to radius

  • h refers to height

  • π is mathematical constant whose value is 22/7 or 3.14

#Finding Radius :-

→ Radius = Diameter/2

→ Radius = 6/2

→ Radius = 3 in

[tex] \sf{ \longmapsto \: \: \: \: 3.14 \times (3) {}^{2} \times 11 }[/tex]

[tex] \sf{ \longmapsto \: \: \: \: 3.14 \times 9 \times 11 }[/tex]

[tex]\sf{ \longmapsto \: \: \: \: 3.14 \times 99}[/tex]

[tex]\sf{ \longmapsto \: \: \: \: 310.86}[/tex]

Rounding it to nearest tenth ( As asked in the question ) :

[tex]\sf{ \longmapsto \: \: \: \: \underline{ \boxed{ \bold{310.9 \: in³}}}} \: \: \: \bigstar[/tex]

>>> Therefore, volume of given cylinder is "310.9" cubic inches.