The volume V of a cone varies jointly as the area of the base B and the height h . V=144 cm3 when B=12 cm2 and h=36 cm. Identify h when V=240 cm3 and B=64 cm2. h=

Answer 1

V₁ = 144 cm³ , B₁ = 12 cm² , h₁ = 36 cm

V₂ = 240 cm³ , B₂ = 64 cm² , h₂ = ?

if we formulize,

V = B * h * constant

for first values,

144 = 12 * 36 * constant

constant = 1 / 3

for second value set,

240 = 64 * h₂ * (1 / 3)

h₂ = 11.25 cm