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.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .