Question

The radius of sphere is increase by 10%prove that the volume will be increase by 33.1%approx

Answer 1

Answer:

True

Step-by-step explanation:

Let the radius of sphere is r.(r>0)

then the volume is 4/3πr^3

then the radius of sphere is increased by 10%

now the radius of sphere is = r+(r*10/100)

=11r/10

now the volume is = 4/3π(11r/10)^3

= 4/3πr^3 * 1331/1000

then the volume increases=(4/3πr^3*1331/1000 - 4/3πr^3) / 4/3πr^3 * 100%

= 33.1% (approx) [proved]

Answer 2

Answer:

Step-by-step explanation:

% increase in volume [(V2−V1)V1]×100=[(V2V1)−1]×100=[1.331−1]×100=0.331×100=33.1 %