Question

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

Answer 1

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

Answer 2

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

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 =
`2\pi rh`

Where r=Radius of cylinder

h=Height of cylinder

Total surface area of cylinder=
`2\pi rh+2\pi r^2`

Volume of right circular cylinder =
`\pi r^2h`

Circumference of circular base =
`2\pi r`

Hence, the lateral surface area of right circular cylinder =
`2\pi r*h`

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.