Answer:
h = 1,268 cm
Step-by-step explanation:
V = (π·r²·h)/3, general formula
83 = (π·4²·h)/3, substitute what is given V= 83 cm³ and r = 4 cm
83 ·3 = (π· 16·h)·3/3, multiply both sides by 3 and solve 4² = 16
249 = π·16·h, multiply 83·3 = 249 and 3/3 = 1
249/ π·16 = h , divide both sides by π·16
1,268.146587 = h, solve
1,268 ≈ h , is rounded to the nearest cm
X + 3y - 2z = 1
-x - 4y + 6z = 2
-------------------add
-y + 4z = 3
x + 3y - 2z = 1....multiply by -2
2x - y + 2z = 1
------------------
-2x - 6y + 4z = -2 (result of multiplying by -2)
2x - y + 2z = 1
-----------------add
-7y + 6z = -1
-y + 4z = 3 .....multiply by -7
-7y + 6z = -1
-----------------
7y - 28z = -21 (result of multiplying by -7)
-7y + 6z = -1
-----------------add
- 22z = -22
z = -22/-22
z = 1 <===
-y + 4z = 3
-y + 4(1) = 3
-y + 4 = 3
-y = 3 - 4
-y = -1
y = 1 <===
x + 3y - 2z = 1
x + 3(1) - 2(1) = 1
x + 3 - 2 = 1
x + 1 = 1
x = 1 - 1
x = 0 <==
so x = 0, y = 1, and z = 1
Answer:
8.76923076923
Step-by-step explanation:
