Given a right cylinder where h is the height and r is the radius what does the expression 2pirh represent?
a. base area
b. area
c. lateral area
d. volume

C) Lateral Area

Step-by-step explanation:

A) Base Area

The formula for base area of of a cylinder is pir^2.

B) Aread

The formula for surface area or area of a cylinder is 2pirh x 2pir^2 = 2pir (h + r)

C) Lateral Area

The formula for lateral area of a cylinder is 2pirh

D) Volume

The formula for volume of a cylinder is base area x h or pir^2h

!!

C. Lateral area.

Step-by-step explanation:

We have been given that a right cylinder where h is the height and r is the radius. We are asked to determine the meaning of our given expression .

We know that lateral surface area of cylinder is equal to the circumference of base of cylinder times the height of the cylinder.

We know that base of cylinder is circular and circumference of circle is , therefore, the expression represents lateral area of cylinder.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105