The the surface area of a cylinder with radius r and height h is twice the product of pi and the square of the radius plus twice the product the pie, the radius, and the height

Concept:

(1) Curved surface area of cylinder = Circumference of the base × Height of cylinder

(2) Area of the base = Area of circle = π × (radius)²

(3) Circumference of the base = 2×π× (radius)

Consider a right circular cylinder as given in attached figure

Its height (AB) = H

Its radius (OC) = R

Now, we shall calculate the curved surface area of the cylinder (CSA)

(CSA) = Circumference of the base × Height of cylinder

(CSA) = 2×π×R × H = 2πRH -------(i)

Again, we shall calculate the area of the top and bottom circles

Area of the top and bottom (A) = 2× Area of circle

(A) =2×[ π × (radius)²]

or, (A) = 2×π×R² = 2πR²------------(ii)

Now, we shall calculate the surface area or total surface area of the cylinder.

SA = CSA + A

SA = 2πRH + 2πR²

or, SA = 2πR² + 2πRH

This is the required equation.

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80