Which of the following is a property of a right circular cylinder?
• O A. Its volume is four times the area of its base.
• B. Its surface area is equal to the lateral surface area plus pi r^2
. C. Its bases are parallel but not congruent.

D. Its lateral surface area is equal to the product of its perpendicular Height and the circumference of its base

Respuesta :

Answer:

D. Its lateral surface area is equal to the product of its perpendicular Height and the circumference of its base

Answer:

D.Its lateral surface area is equal to the product of its perpendicular height and the circumference of its base.

Step-by-step explanation:

Right circular cylinder :It consist of cylinder and two circular bases .

Let a right circular cylinder of radius r and height h.

Lateral surface area of right circular cylinder =[tex]2\pi rh[/tex]

Where r=Radius of cylinder

h=Height of cylinder

Total surface area of cylinder=[tex]2\pi rh+2\pi r^2[/tex]

Volume of right circular cylinder =[tex]\pi r^2h[/tex]

Circumference of circular base =[tex]2\pi r[/tex]

Hence, the lateral surface area of right circular cylinder =[tex]2\pi r\timesh[/tex]

Therefore, option D is true.

D.Its lateral surface area is equal to the product of its perpendicular height and the circumference of its base.