Answer:
V = 125.6 in³
Step-by-step explanation:
let V be volume, h the height and r the radius, then the equation relating the quantities is
V = khr² ← k is the constant of variation
To find k use the condition V = 402.12, h = 8, r = 4
402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )
3.14 = k [ note 3.14 is π )
V = 3.14hr² ← equation of variation [ V = πr²h ]
Given r = 2 and h = 10, then
V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6
