Answer:
V = 3.90625 cm³
Explanation:
Given that V varies directly as h³ then the equation relating them is
V = kh³ ← k is the constant of variation
To find k use the condition
V = 6.75 when h = 3 , then
6.75 = k × 3³ = 27k ( divide both sides by 27 )
0.25 = k
V = 0.25h³ ← equation of variation
(b)
When h = 2.5 , then
V = 0.25 × 2.5³ = 3.90625 cm³