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Osmin
06.10.2019 •
Mathematics
What is the volume of the cone in the picture if s = 5 and r = 3? (v = πr2h 3 )
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Ответ:
H² = S² - R²
H² = 5² - 3² = 25 - 9 = 16
H = √16
H = 4
The volume:
V = ( π R² H ) / 3 = ( 3² · 4 ) π / 3 = 12 π ≈ 37.68
Ответ:
y = 20
Step-by-step explanation:
x+y+z = 50
x/y = 1/4 so y = 4x
Substitute y = 4x into x+y+z = 50
x + 4x + z = 50
5x + z = 50
y/z = 4/5 --> 4z = 5y so z =5/4 y
Substitute z =5/4 y into 5x + z = 50
5x + 5/4 y = 50
You can solve for x from these 2 equations
5x + 5/4 y = 50
y = 4x
Substitute y = 4x into 5x + 5/4 y = 50
5x + 5/4 (4x) = 50
5x + 5x = 50
10x = 50
x = 5
y = 4x = 4 (5) = 20
Answer
y = 20