Question

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

The volume V of a cone varies jointly as the area of the base B and the height h. To find the value of h when V=110 cm³ and B=22 cm², we can use the formula V = k * B * h and solve for h and we get 15 cm.

Step-by-step explanation:

The volume V of a cone varies jointly as the area of the base B and the height h. This relationship can be written as V = k * B * h, where k is a constant of variation. To find the value of k, we can substitute the given values for V, B, and h into the equation and solve for k:

34 = k * 17 * 6

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

Now, to find the height h when V = 110 cm³ and B = 22 cm², we can use the equation V = k * B * h and solve for h:

110 = (1/3) * 22 * h

h = 110 / (22 * (1/3)) = 15 cm