The surface area of a cone is equal to the base plus the lateral area.
The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.
To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433
The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)
Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
Answer:
159 as a percent = 15900%
Brainiest if helpful!
Step-by-step explanation:
To convert 159 to percent multiply 159 by 100. The result is 15900 percent, or, using the percent sign, 15900 %. Put simply, to change 159 to % move the ″.″ two places to the right.
1/2 is the answer cause it is rise over run and the rise is 1 and the run is 2
Jonathan gets more time
if Lucas does 5 hours of homework the he plays for 2 1/2 hours, which is 1/2 hour less than johnathan
Answer: A
Explanation:
Use formula a^2 + b^2 = c^2 but in this case letter “d” will substitute for “b”
Since 13 is hypotenuse, 13 is going to be the letter c
12 is “a” because we don’t know “d”
So it’s 12^2 + d^2 = 13^2
Simplify: 144 + d^2 = 169
Subtract to isolate d^2: d^2 = 25
Take square root from both sides to isolate d: d = 5
Answer: A
