Answer:
![790\pi\,\,mm^2](https://tex.z-dn.net/?f=790%5Cpi%5C%2C%5C%2Cmm%5E2)
Step-by-step explanation:
Given: The diameter of the cylindrical base of the pencil is 10 mm and the height of the cylinder is 70 mm, while the height of the cone is 12 mm
To find: surface area of the pencil
Solution:
Radius of the cone = Radius of the cylinder (r) = diameter/2 = ![\frac{10}{2}=5\,\,mm](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B2%7D%3D5%5C%2C%5C%2Cmm)
Height of the cylinder (H) = 70 mm
Height of the cone (h) = 12 mm
Slant height of the cone (l) = ![\sqrt{r^2+h^2}=\sqrt{5^2+(12)^2}=\sqrt{25+144}=\sqrt{169}=13\,\,mm](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%2Bh%5E2%7D%3D%5Csqrt%7B5%5E2%2B%2812%29%5E2%7D%3D%5Csqrt%7B25%2B144%7D%3D%5Csqrt%7B169%7D%3D13%5C%2C%5C%2Cmm)
Curved surface area of cone = ![\pi rl=\pi (5)(13)=65\,\pi \,\,mm^2](https://tex.z-dn.net/?f=%5Cpi%20rl%3D%5Cpi%20%285%29%2813%29%3D65%5C%2C%5Cpi%20%5C%2C%5C%2Cmm%5E2)
Surface are of cylinder = curved surface area of cylinder + base area of cylinder
![=2\pi rH+\pi r^2\\=\pi r(2H+r)\\=\pi(5)\left [ 2(70)+5 \right ]\\=5 \pi\left ( 140+5 \right )\\=725\pi\,\,mm^2](https://tex.z-dn.net/?f=%3D2%5Cpi%20rH%2B%5Cpi%20r%5E2%5C%5C%3D%5Cpi%20r%282H%2Br%29%5C%5C%3D%5Cpi%285%29%5Cleft%20%5B%202%2870%29%2B5%20%5Cright%20%5D%5C%5C%3D5%20%5Cpi%5Cleft%20%28%20140%2B5%20%5Cright%20%29%5C%5C%3D725%5Cpi%5C%2C%5C%2Cmm%5E2)
So,
surface area of the pencil = Curved surface area of cone + Surface are of cylinder = ![65\pi+725\pi=790\pi\,\,mm^2](https://tex.z-dn.net/?f=65%5Cpi%2B725%5Cpi%3D790%5Cpi%5C%2C%5C%2Cmm%5E2)
Answer:
do you have a photo of the figure?
Answer:
480 yds.
Step-by-step explanation:
Model is 12in X 24in
Scale is 1in = 4 yds
24 in is the length, so multiply the 24 and 4 to find length of the actual field.
24 *4 = 96 yds. Manny ran it 5 times, multiply 96 and 5. 96 * 5 = 480 yds.
First put both in other
24,26,27,30,31,32,32 = 30
29,29,29.5,30,32 =29.5
add them together
=59.5
or if your question is all the numbers together
24,26,27,29.5,29,29,30,30,31,32,32,32= 29+30
= 29.9