Question

The radius of a sphere is 12.4+- 0.1cm calculate the percentage error in surface area of sphere

Answer 1

From the given information, we have the data as follows.

The radius of a sphere is 12.4 ± 0.1 cm.

⇒ r = 12.4

Δr = 0.1

i. The percentage error in radius.

= Δr/r × 100%

= 0.1/12.4 × 100%

ii. The percentage error in surface area of the sphere

S = 4πr²

S ∝ r²

ΔS/S × 100% = 2 Δr/r × 100%

ΔS/S × 100% = 2 × 0.1/12.4 × 100%

Therefore, the percentage error in radius and surface area are 0.1/12.4 × 100% and 2 × 0.1/12.4 × 100%

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