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.

Answer 1

Answer:

h = 9 cm.

Step-by-step explanation:

V = kBh   where k is the constant of variation.

From the given info:

32 = k*16*6 = 96k

So k = 32/96 = 1/3.

So we have the equation of variation:

V = 1/3Bh

When V = 60 B = 20, so:

60 = 1/3 20h

20h = 60 * 3 = 180

h = 180 /20 = 9.