Question

A hemispherical piece of wood is to be mounted at the end of cylindrical wooden log with the same base.
If the length of the log its four times its width, then what is the percentage increase in its total surface area?

a) 20%
b) 100/9%
c) 10%
d) 50/9%​

Answer 1

Answer:

d) 50/9%

Step-by-step explanation:

Hemisphere Volume= 4/3 * π * r³

Cylinder volume = πr2h

given :

If the length of the log its four times its width, then what is the percentage increase in its total surface area

Let x be original volume

3/4 * π * r³+πr2h= 4x/100

then cancellation the πr

x/100×2/3^2