Answer:
volume
Step-by-step explanation:
Easey peasy
oposite angle is equal
other angles are supplementary (supplementary means add to 180, and a straight line=180 so if you look at 2 lines intersecting and think for a little bit, you wiill see why)
oposite angle=30
other angle is adds to 180
30+other=180
subtract 30
other=150
other is oposite other other
other=other other
150=other other
angles are
150,30,150
Answer:
2/4
Step-by-step explanation:
Answer: -3 and 1/3
Step-by-step explanation:
There’s your answer
Answer:
See below
Step-by-step explanation:
Use the formulae directly
For a cone, with base radius = r and height = h, here are the related formula
(1)
![\textrm{Lateral surface area} = \pi r l](https://tex.z-dn.net/?f=%5Ctextrm%7BLateral%20surface%20area%7D%20%3D%20%5Cpi%20r%20l)
![\textrm {Base area} = \pi r^2](https://tex.z-dn.net/?f=%5Ctextrm%20%7BBase%20area%7D%20%3D%20%5Cpi%20r%5E2)
(2)
(3)
Therefore directly plugging in the numbers in the above equations:
Note:
l = slant height in cm
SA = total surface area in sqcm
V = Volume in cubic cm
Figure(a)
r = 4, h = 8
![\textrm{l} = \sqrt{4^2 + 8^2} =\sqrt{80} = 8.944 \\\textrm{SA} = 4\pi(4 + 8.944) = 4\pi(12.944) = 162.66\\\textrm{V} = (1/3)\pi(4^2)(8) = 134.04](https://tex.z-dn.net/?f=%5Ctextrm%7Bl%7D%20%3D%20%5Csqrt%7B4%5E2%20%2B%208%5E2%7D%20%3D%5Csqrt%7B80%7D%20%3D%208.944%20%5C%5C%5Ctextrm%7BSA%7D%20%20%3D%204%5Cpi%284%20%2B%208.944%29%20%3D%20%204%5Cpi%2812.944%29%20%3D%20162.66%5C%5C%5Ctextrm%7BV%7D%20%3D%20%281%2F3%29%5Cpi%284%5E2%29%288%29%20%3D%20134.04)
Figure(b)
r = 7, h =15
![\textrm{l} = \sqrt{7^2 + 15^2} =\sqrt{274} = 16.55](https://tex.z-dn.net/?f=%5Ctextrm%7Bl%7D%20%3D%20%5Csqrt%7B7%5E2%20%2B%2015%5E2%7D%20%3D%5Csqrt%7B274%7D%20%3D%2016.55)
![\textrm{SA} = 7\pi(7 + 16.55) = 517.89](https://tex.z-dn.net/?f=%5Ctextrm%7BSA%7D%20%20%3D%207%5Cpi%287%20%2B%2016.55%29%20%3D%20%20517.89)
Figure (c)
r = 5, l = 8
![h = \sqrt{l^2 - r^2} = \sqrt{8^2 - 5^2} = \sqrt{39} = 6.245\\SA = \textrm{SA} = 5\pi(5 + 8) = 204.2\\V = (1/3)\pi(5^2)(6.245) = 163.5](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7Bl%5E2%20-%20r%5E2%7D%20%3D%20%5Csqrt%7B8%5E2%20-%205%5E2%7D%20%3D%20%5Csqrt%7B39%7D%20%3D%206.245%5C%5CSA%20%3D%20%5Ctextrm%7BSA%7D%20%20%3D%205%5Cpi%285%20%2B%208%29%20%3D%20%20204.2%5C%5CV%20%3D%20%281%2F3%29%5Cpi%285%5E2%29%286.245%29%20%3D%20163.5)