Question

For a fixed volume, the height, h cm, of a cone is inversely proportional to the square of the base radius, r cm. Cone A has a base radius of 6 cm and a height of 5 cm. The base radius of cone B is 3 cm and the height of the cone C is 1.25 cm. If all the cones have the same volume, find (i) the height of Cone B (ii) the base radius of Cone C

Answer 1

Answer:

8cm

2cm

Step-by-step explanation:

Answer 2

Radius = r

Height = h

Volume = V

New Volume = V'

V is proportional to h*(r^2)

V' is proportional to (1/2)*h*(3*r)^2

V/V' = 2/9

Now, percentage of change of volume (P)= (V'-V)*100/V

P= [(V'/V)-1]*100

P= [(9/2)-1]*100

P= 7*50%

P= 350%

There is a 350% increase in volume of cylinder.