Question

if the radius of the sphere is increased by p % then find the percent increase in its surface area.

Answer 1

Hi Mate!!!

Surface area of Sphere is directly proportional to the square of radius.

Increase in itz surface area = 2 ( p% )

Answer 2

Hey Dear,

● Answer -

Percentage increase in surface area = 2p %

◆ Explanation -

# Given -

∆r/r = p %

∆A/A = ?

# Solution -

Surface area of sphere is given by -

A = 4πr²

Differentiating both sides -

∆A/A = 2 ∆r/r

∆A/A = 2 × p %

∆A/A = 2p %

Hence, percentage increase in surface area of sphere is 2p %.

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