The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1 cm and 34.2 ± 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ?

Question

The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1 cm and 34.2 ± 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ? (A) 4260 ± 80 cm3 (B) 4300 ± 80 cm3 (C) 4264 ± 81.0 cm3 (D) 4260 ± 81 cm3

Tardigrade Admin · Accepted Answer

(Δ V/V) = 2 (Δ d/d) + (Δ h/h) = 2((0.1/12.6)) + (0.1/34.2) V= 12.6×(π/4) ×314.2

Q. The diameter and height of a cylinder are measured by a meter scale to be 12.6 $\pm$ 0.1 cm and 34.2 $\pm$ 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ?

$4260 \pm 80 c m^{3}$

$4300 \pm 80 c m^{3}$

$4264 \pm 81.0 c m^{3}$

$4260 \pm 81 c m^{3}$

$\frac{Δ V}{V} = 2 \frac{Δ d}{d} + \frac{Δ h}{h} = 2 (\frac{0.1}{12.6}) + \frac{0.1}{34.2}$
$V = 12.6 \times \frac{π}{4} \times 314.2$

Q. The diameter and height of a cylinder are measured by a meter scale to be 12.6 ± 0.1 cm and 34.2 ± 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ?

4260±80cm3

4300±80cm3

4264±81.0cm3

4260±81cm3