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

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 =

Where r=Radius of cylinder

h=Height of cylinder

Total surface area of cylinder=

Volume of right circular cylinder =

Circumference of circular base =

Hence, the lateral surface area of right circular cylinder =

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.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!