The volume V of a cone varies jointly as the area of the base B and the height h. V=34 cm3 when B=17 cm2 and h=6 cm. Identify h when V=110 cm3 and B=22 cm2. h=

Answer 1

"varies jointly" means V = kBh

You have the volume (V = 34) and the area of the base (B = 17) and the height (h = 6) so you can plug those in to solve for k. Once you solve for k, plug that number into the equation V = kBh in place of k and then solve for h when you plug in V = 110 and B = 22.

Answer 2

First find k in the proportion equation V = k (B h) where B is the area of the base in sq. cm and h is the height in cm and k is the constant of proportion.

34 = k (17) (6) or k = 1/3

So, h = V /(k h) or h = 110/ (1/3) (22) = 330/22 = 15