Question

The radius of a sphere is 10 cm. If the radius is increased by 5℅, find by how much percent the volume is increased.​

Answer 1

Answer:

Step-by-step explanation:Radius of the sphere = 10 cm, 

So, it volume = 4/3πr³ = 4/3 × 22/7 × 1000 

= 4190.47 cm³. 

It is given that it is increased by 5%, 

So, new radius = 10 + 5/100 

= 10 + 1/20 = 201/20 = 10.05 cm, 

Now, new volume = 4/3πR³ = 4/3 × 22/7 × (10.05)³ = 4253.64 cm³, 

So, increase in volume = (4253.64 - 4190.47)cm³ = 63.17 cm³. 

Also, percentage increase = 

63.17 /4190.47× 100 = 1.5%.

Answer 2

Answer:

15%

Step-by-step explanation:

r = 10 cm

Δr/r x 100 = 5 %

v = 4/3 π $r^{3}$

Δv/v x 100 = 3 (Δr/r x 100)

                   = 3 x 5 = 15%