We will use the Pythagorean theorem:
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
Remark
She starts out with x
She spends 10 dollars paying back her brother (that's - 10)
She spends 30 dollars on fuel (that - 30)
She spends 1/2 what's left on a tent ( that's 1/2 (x - 10 - 30) )
She then spent 29.45 on running shoes. 1/2 (x - 10 - 30) + 29.45 is her expenditures.
After all that she has 17.75 left.
Equation
x - 10 - 30 - 1/2(x - 10 - 30) - 29.45 = 17.75
Solve
Begin by adding 29.95 to both sides.
x - 10 - 30 - 1/2(x - 10 - 30) = 17.75 + 29.45
x -10 - 30 - 1/2(x - 10 - 30) = 47.20 Add the like terms on the left.
x - 40 - 1/2(x - 40) = 47.20 Add 40 to both sides. Don't go inside the brackets.
x - 1/2x + 1/2 (40) = 87.20
1/2 x + 20 = 87.20 Subtract 20 from both sides.
1/2 x = 67.20 Multiply by 2
x = 134.40
Answer:
I plotted points since i cant draw lines very well with a mouse
Step-by-step explanation:
