2 answers:
Answer:
819.54 cm^2
Step-by-step explanation:
We are given
Slant height = l = 20cm
and
Diameter = d = 18 cm
We have to find radius first
r = d/2 = 18/2 = 9 cm
The formula for surface area is:
![SA = \pi rl+\pi r^2\\= (3.14 * 9 * 20) + (3.14 * (9)^2)\\=565.5+254.34\\=819.84\ cm^2](https://tex.z-dn.net/?f=SA%20%3D%20%5Cpi%20rl%2B%5Cpi%20r%5E2%5C%5C%3D%20%283.14%20%2A%209%20%2A%2020%29%20%2B%20%283.14%20%2A%20%289%29%5E2%29%5C%5C%3D565.5%2B254.34%5C%5C%3D819.84%5C%20cm%5E2)
As second option is nearest to calculated answer, it is the correct option ..
Answer: second option.
Step-by-step explanation:
We know that we can calculate the surface area of a cone with this formula:
![SA=\pi rl + \pi r^2](https://tex.z-dn.net/?f=SA%3D%5Cpi%20rl%20%2B%20%5Cpi%20r%5E2)
Where "r" is the radius and "l" is the slant heigth.
We know that the radius is half the diameter, then the radius of this cone is:
![r=\frac{18cm}{2}\\\\r=9cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B18cm%7D%7B2%7D%5C%5C%5C%5Cr%3D9cm)
Since we know the radius and the slant height, we can substitute values into the formula, using 3.14 for π.
Therefore, we get:
![SA=(3.14)(9cm)(20cm) + (3.14)(9cm)^2=819.54cm^2](https://tex.z-dn.net/?f=SA%3D%283.14%29%289cm%29%2820cm%29%20%2B%20%283.14%29%289cm%29%5E2%3D819.54cm%5E2)
You might be interested in
Answer:
$2.59
Step-by-step explanation:
.74 per pound
pounds=3.5
.74x3.5=$2.59
Answer:
x = 3
Step-by-step explanation:
4x + 50 + 28 = 90
4x + 78 = 90
4x = 12
x = 3
X =
2. -7
7. 15
11. -2
12. 12
13. -1
14. 3
15. 64
16. 5
18. -14
Answer:
.8 or 4/5ths cup
Step-by-step explanation:
divide number of bottles by cups
4 1/2 is 4.5
5 5/8 is 5.625
4.5/5.625 = .8 (or 4/5ths)
Answer:
![reciprocal \: of \: 5 = \frac{1}{5} \\ reciprocal \: of \: (5g - 20) = \frac{1}{5g - 20} \\ product \: of \: reciprocals = ( \frac{1}{5} )( \frac{1}{5g - 20 } ) \\ = \frac{1}{5(5g - 20)} \\ = \frac{1}{(25g - 100)} \\ divide \: by \: 25 \: on \: everything \: (optional) \\ = \frac{(1 \div 25)}{(25g \div 25) - (100 \div 25)} \\ = \frac{0.04}{g - 4}](https://tex.z-dn.net/?f=reciprocal%20%5C%3A%20of%20%5C%3A%205%20%3D%20%20%5Cfrac%7B1%7D%7B5%7D%20%20%5C%5C%20reciprocal%20%5C%3A%20of%20%5C%3A%20%285g%20-%2020%29%20%3D%20%20%5Cfrac%7B1%7D%7B5g%20-%2020%7D%20%20%5C%5C%20product%20%5C%3A%20of%20%5C%3A%20reciprocals%20%3D%20%28%20%5Cfrac%7B1%7D%7B5%7D%20%29%28%20%5Cfrac%7B1%7D%7B5g%20-%2020%20%7D%20%29%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B5%285g%20-%2020%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B%2825g%20-%20100%29%7D%20%20%5C%5C%20divide%20%5C%3A%20by%20%5C%3A%2025%20%5C%3A%20on%20%5C%3A%20everything%20%5C%3A%20%28optional%29%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%281%20%5Cdiv%2025%29%7D%7B%2825g%20%5Cdiv%2025%29%20-%20%28100%20%5Cdiv%2025%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B0.04%7D%7Bg%20-%204%7D%20)