The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder?

A) 60π cm³

B) 50π cm³

C) 27π cm³

D) 36π cm³

Respuesta :

Answer:

A) 60π cm³

Step-by-step explanation:

Given:

The radius of the base of a metallic rod is 2 centimetres, and its height is 15 centimetres.

Question asked:

What is the volume of this cylinder?

Solution:

As we know''

[tex]Volume\ of\ cylinder=\pi r^{2} h[/tex]

                                [tex]=\pi \times2\times2\times15\\ \\ =60\pi[/tex]

Therefore, the volume of this cylinder will be [tex]60\pi\ cm^{3}[/tex]

Answer:

The correct option is option (A)

The volume of the metallic rod is 60π cm³.

Step-by-step explanation:

Cylinder:

  • It is three dimension shape.
  • The lateral surface area is 2πrh, r= radius, h= height
  • Total surface area = 2πrh+2πr²,
  • Volume = πr²h.

The radius of the base of metallic rod is 2 cm and its height is 15 cm.

Here r= 2 cm, h= 15 cm, [tex]\pi =\frac{22}7[/tex]

The volume of metallic rod is

=πr²h

=π(2 cm)² (15 cm)

=π(4)(15) cm³

=60π cm³

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