Answer:
-8 and 7
Step-by-step explanation:
-8×7=-56 and -8+7=-1
Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder
Area of the base of the cylinder =
![\pi r^{2} = 8^{2} \pi =64 \pi](https://tex.z-dn.net/?f=%20%5Cpi%20r%5E%7B2%7D%20%3D%208%5E%7B2%7D%20%5Cpi%20%3D64%20%5Cpi%20)
Area of the cylinder 'wall' = width × length =
![12](https://tex.z-dn.net/?f=12)
×
![2r \pi](https://tex.z-dn.net/?f=2r%20%5Cpi%20)
=
![12](https://tex.z-dn.net/?f=12)
×
![16 \pi](https://tex.z-dn.net/?f=16%20%5Cpi%20)
=
![192 \pi](https://tex.z-dn.net/?f=192%20%5Cpi%20)
Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.
Surface area of cone is given by
![\pirl](https://tex.z-dn.net/?f=%20%5Cpirl)
where
![l](https://tex.z-dn.net/?f=l)
is the slanted height of the cone
SA of cone =
![\pi (8)(10)=80 \pi](https://tex.z-dn.net/?f=%20%5Cpi%20%288%29%2810%29%3D80%20%5Cpi%20)
Hence total painted surface area is