Question

The volume V of a cone varies jointly as the area of the base B and the height h. V = 32 cm, when B = 16 cm2 and h = 6 cm. Identify h when V = 60 cm3 and B = 20 cm2. Identify h when V = 60 cm^3 and B = 20 cm^2.

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 = 60 cm³ and B = 20 cm², we can use the formula V = k * B * h and the given values.

Step-by-step explanation:

The volume V of a cone varies jointly as the area of the base B and the height h. This can be represented by the formula: V = k * B * h, where k is the constant of variation.

To find the value of k, we can substitute the given values into the equation: 32 = k * 16 * 6. Solving for k, we get k = 1/3.

Now we can use the value of k to find the height h when V = 60 cm³ and B = 20 cm²: 60 = (1/3) * 20 * h. Solving for h, we get h = 9 cm.