Answer:
V = 5626.88 mm³
Step-by-step explanation:
radius r = 8 mm
height h = 28 mm
volume V = 5626.88 mm³
lateral surface area L = 1406.72 mm²
top surface area T = 200.96 mm²
base surface area B = 200.96 mm²
total surface area A = 1808.64 mm²
In Terms of Pi π
volume V = 1792 π mm³
lateral surface area L = 448 π mm²
top surface area T = 64 π mm²
base surface area B = 64 π mm²
total surface area A = 576 π mm²
Formula: Calculate volume of a cylinder:
V = πr²h
r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
<span>-0.15384615384 repeative
or -0.153846 with a line on top</span>
After factor by grouping
we get ![c(7c-4)(c^2+4)](https://tex.z-dn.net/?f=c%287c-4%29%28c%5E2%2B4%29)
Step-by-step explanation:
We need to factor the term:
![7c^4-4c^3+28c^2-16c](https://tex.z-dn.net/?f=7c%5E4-4c%5E3%2B28c%5E2-16c)
Taking c common:
![7c^4-4c^3+28c^2-16c\\c(7c^3-4c^2+28c-16)](https://tex.z-dn.net/?f=7c%5E4-4c%5E3%2B28c%5E2-16c%5C%5Cc%287c%5E3-4c%5E2%2B28c-16%29)
Now making groups:
![c(7c^3+28c-4c^2-16)](https://tex.z-dn.net/?f=c%287c%5E3%2B28c-4c%5E2-16%29)
Now factorizing by groups:
![c(7c^3+28c-4c^2-16)\\=c(7c(c^2+4)-4(c^2+4))\\=c((7c-4)(c^2+4))\\=c(7c-4)(c^2+4)](https://tex.z-dn.net/?f=c%287c%5E3%2B28c-4c%5E2-16%29%5C%5C%3Dc%287c%28c%5E2%2B4%29-4%28c%5E2%2B4%29%29%5C%5C%3Dc%28%287c-4%29%28c%5E2%2B4%29%29%5C%5C%3Dc%287c-4%29%28c%5E2%2B4%29)
So, after factor by grouping
we get ![c(7c-4)(c^2+4)](https://tex.z-dn.net/?f=c%287c-4%29%28c%5E2%2B4%29)
Keywords: factor by grouping, factorization
Learn more about factorization at:
#learnwithBrainly