Question

the error in the measurment of the radius of a sphere is 2% . What will be the erroe in the calculation of its surface area ?​

Answer 1

Answer:

Given, Error in a radius of the sphere is 2%

it meansΔr=2%

Now, the surface area of the sphere is

A=4πr

2

A

ΔA

=

r

2Δr

A

ΔA

=

1000

2×2

=0.04

A×100

ΔA

=0.04×100= 4%

it means % error in surface area of its measurements is 4%

Explanation:

(surface area A=4πr

2

)

A

ΔA

=

r

2Δr

)