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Find the volume of the cylinder in terms of [tex]\pi[/tex].

h = 6 and r = 3.


a. 27[tex]\pi[/tex] in.³

b. 108[tex]\pi[/tex] in.³

c. 54[tex]\pi[/tex] in.³

d. 324[tex]\pi[/tex] in.³

Find the volume of the cylinder in terms of texpitexh 6 and r 3a 27texpitex inb 108texpitex inc 54texpitex ind 324texpitex in class=

Respuesta :

Answer:

c. 54[tex]\pi[/tex] in.³

The volume of cylinder is 54[tex]\pi[/tex] in.³

Step-by-step explanation:

Given that :-

  • Height of cylinder , h = 6.
  • Radius of cylinder, r = 3.

To Find :-

  • Volume of cylinder.

Solution:-

We use formula

Volume of cylinder = π × (radius)² × h

  • Substitute the value of radius and height.

Volume of cylinder = π × ( 3)² × 6.

  • Evaluate the exponent.

Volume of cylinder = π × 9 × 6.

  • Multiply we get ,

Volume of cylinder = 54[tex]\pi[/tex] in.³

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ItzTds

The formula we use,

→ Volume of cylinder = π × r² × h

It is given that,

→ Height (h) = 6 and radius (r) = 3.

Then we have to,

find the volume of the cylinder,

→ π × r² × h

→ π × 3² × 6

→ π × 9 × 6

→ 54π in.³

Thus, option (c) is the answer.

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