Question

The volume of spherical ballon is increased by 700%. What is the %increase in surface area

Answer 1

Answer:

hop it will help u.if u feel satisfied then mark me brainlyst

Step-by-step explanation:

the volume and surface area of a sphere are V=4πr33 and S=4πr2 respectively.

Let the subscripts 1 and 2 indicate the initial and final values.

The volume has increased by 700%.

⇒ The new volume is 8 times the old volume.

⇒V2V1=8.

⇒4πr3234πr313=8⇒r32r31=8.

⇒r22r21=(8)2/3=4.

⇒S2S1=4πr224πr22=r22r22=4.

⇒S2−S1=3S1.

⇒ The increase in surface area is  300%