Answer:
V ≈ 1847.26
Step-by-step explanation:
<u>Circular Cone Formulas in terms of radius r and height h:</u>
The volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
The base surface area of a cone (a circle):
B = πr2
The total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Therefore, the solution
V = πr 2h
/ 3 = π·142·9/ 3 ≈ 1847.25648
D varies directly with t means
d=kt
105=3k
divide both sids by 3
35=k
d=35t
when t=8
d=35(8)
d=280
B
X= 2/3
6x/x-6 - 4/x - 24 / x^2 - 6x = 0
6x^2 -4 (x-6)-24 / x(x-6) = 0
6x^2 -4x+ 24 -24/x(x-6) = 0
X(6x-4) / x(x-6)
6x-4/x-5 = 0
6x-4= 0
6x = 4 divide both sides by 6
X= 2/3