If radius of the sphere is (5.3 ± 0.1)cm. Then percentage error in its volume will be Options: A . &nbsp3+6.01 ×1005.3 B . &nbsp13× 0.01 ×1005.3 C . &nbsp(3×0.15.3)×100 D . &nbsp0.15.3×100

Answer: Option C : C Volume of sphere (v) = 4 3 π γ 3 Percentage error in volume =3 × Δ γ γ × 100 = (3 × 0.1 5.3 ) × 100

If radius of the sphere is (5.3 ± 0.1)cm. Then percentage error in its volu

Question

If radius of the sphere is (5.3

\pm

0.1)cm. Then percentage error in its volume will be

Options:

A . 3+6.01 ×1005.3

B . 13× 0.01 ×1005.3

C . (3×0.15.3)×100

D . 0.15.3×100

Answer: Option C
:
C

Volume of sphere (v) =

\frac{4}{3} π γ^{3}

Percentage error in volume =3

\times \frac{Δ γ}{γ} \times

100 = (3

\times \frac{0.1}{5.3}) \times

100

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