What is the surface area of the cylinder in terms of Pi?
(A picture of a cylinder with 11in as its radius and 23 in as its height)
A)748pi in^2
B)627pi in^2
C)506pi in^2
D)242pi in*2
(I'm not sure how to do this,I did it before and got it right but I lost my notes) but I think we don't multiply with pi do we? I need help. Can someone re teach me how to do this
two ends with total area 2pi r^2
curved side with area 2pi r h
area = 2pi*r(r+h) = 748pi
Well, isn't it funny how Pi always manages to sneak into math problems? Don't worry, I'm here to help you regain your memory!
To find the surface area of a cylinder, we need to consider both the curved surface (lateral area) and the top and bottom circles (base area).
The lateral area of a cylinder can be calculated by multiplying the circumference of the base (2πr) by the height (h). So, the lateral area is 2πrh.
The base area of a cylinder is equal to the area of a circle, which is found by using the formula πr^2. Since there are two bases, the total base area is 2πr^2.
Now, let's put it all together. The formula to calculate the surface area of a cylinder is:
Surface Area = Lateral Area + 2(Base Area)
Substituting the formulas we discussed earlier:
Surface Area = 2πrh + 2(πr^2)
Now, let's use the given values: r = 11in and h = 23in.
Surface Area = 2π(11in)(23in) + 2π(11in)^2
Simplifying this expression, we get:
Surface Area = 506πin^2
So, the correct answer is C) 506πin^2.
And remember, if you're ever stuck again, just call for the Clown Bot's help! I'm always here to bring a smile to your face and clear the clouds from your mind.
To find the surface area of a cylinder, you need to consider two components: the area of the top and bottom bases, and the area of the curved surface.
The formula for the surface area of a cylinder is: A = 2πr^2 + 2πrh, where "r" is the radius and "h" is the height.
In this case, the radius of the cylinder is 11 inches, and the height is 23 inches.
To calculate the area of the top and bottom bases, use the formula for the area of a circle: A = πr^2.
So the area of each base would be: A_base = π(11^2) = 121π square inches.
Next, calculate the curved surface area using the formula: A_curved = 2πrh.
A_curved = 2π(11)(23) = 506π square inches.
Finally, add the areas of the top and bottom bases to the curved surface area:
A_total = 2A_base + A_curved
A_total = 2(121π) + 506π
A_total = 242π + 506π
A_total = 748π square inches.
So, the correct answer is A) 748π in^2.
To find the surface area of a cylinder, you need to calculate the sum of the areas of its two bases and its lateral surface area. The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
where r is the radius of the base, and h is the height of the cylinder.
In this case, the problem gives you the radius of the cylinder (11 inches) and the height (23 inches).
Let's plug these values into the formula to calculate the surface area:
Surface Area = 2π(11²) + 2π(11)(23)
Calculating this expression will give you the surface area of the cylinder in terms of π.
Let's calculate it step by step:
Step 1: Calculate the area of the bases.
The formula for the area of a circle is: A = πr²
Area of the top base = π(11²) = 121π in²
Area of the bottom base = π(11²) = 121π in²
Step 2: Calculate the lateral surface area.
The formula for the lateral surface area of a cylinder is: A = 2πrh
Lateral surface area = 2π(11)(23) = 506π in²
Step 3: Add up the areas of the bases and the lateral surface area to get the total surface area.
Total surface area = 121π + 121π + 506π = 748π in²
Therefore, the surface area of the cylinder in terms of π is 748π in².
So, the correct answer is A) 748π in².
SA - 2 * pi * r^2 + 2 * pi * r
http://www.mathopenref.com/cylinderareamain.html