Question

the answer is C) 700 but i want to know how 700 comes I mean i need the solution​

Answer 1

Answer:

Step-by-step explanation:

Let the initial radius of the sphere be “r₁” and the initial volume be “V₁”.

So, the Initial Volume of the sphere, V₁ =  * πr₁³ …… (i)

It is given that, the radius of sphere is increased by 100% i.e.,  

The new radius, r₂ = r₁ + (100% of r₁) = 2r₁

Now,  

The New Volume of the sphere,  

V₂ =  * πr₂³

⇒ V₂ =  * π * (2r₁)³

⇒ V₂ =  * π * 8 * r₁³

⇒ V₂ = 8 * V₁ ……. [substituting from (i)]

Thus,

The volume of the corresponding sphere is increased by,

= [(V₂ – V₁)/V₁] * 100

= [(8V1 – V₁)/V₁] * 100

= [7V₁/V₁] * 100

= 7 * 100

= 700%