Question

If height and radius of cone is increased by 25% and 60% respectively. find percentage Increase in it's volume????

250 %
320 %
220 %
80 %
​

Answer 1

Answer:

220%

Step-by-step explanation:

Let the height of the cone = h

Let the radius of the cone = r

So the volume of the cone will be =

V1 = (1/3) × π × r^2 × h

Now,

The height is increased by 25% and radius is increased by 60%

So the new height will be = h + 25% of h = 5h/4

So the new radius will be = r + 60% of r = 8r/5

Volume will be =

V2 = (1/3) × π × (8r/5)^2 × (5h/4)

= (1/3) × π × 16/5 × r ^2 × h

Now Percentage increase will be

[(V2-V1)/V1] × 100% = 220%