Physics: 2. A sphere has a radius of 5.00 cm. with an uncertainty of 5%, a) what is the percent uncertainty of the volume? % b) What is the volume of sphere with absolute uncertainty? +/ cm^3

The object needs to be bigger than you, or (most people would say) you’d be attracting it. no matter how small an object is, if it has mass, it has gravity....

2. A sphere has a radius of 5.00 cm. with an - id25008297218, zlittleton2008

Ответ:

kahliey

05.02.2022

Physics

The percent uncertainty of the volume= $\frac{15.70}{523.59} \times 100=2.99\%$

The volume of sphere with absolute uncertainty= $523.59 \pm 15.7 cm^3$

Explanation:

Radius of sphere = 5 cm

Radius with uncertainty r'= $5 \pm 0.05$

Volume of sphere = $\frac{4}{3} \pi r^3=\frac{4}{3} \pi (r')^3$

$V=\frac{4}{3} \pi (r')^3\\\frac{dV}{dr'}=4\pi (r')^2$

Where dV is the uncertainty in volume

dr' is the uncertainty in radius

$dV=4\pi (r')^2 dr'\\dV=4 \pi (5)^2(0.05)\\dV=15.70\\V=\frac{4}{3} \pi (r')^3=\frac{4}{3} \pi (5)^3=523.59$

The percent uncertainty of the volume= $\frac{15.70}{523.59} \times 100=2.99\%$

The volume of sphere with absolute uncertainty= $523.59 \pm 15.7 cm^3$

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2. A sphere has a radius of 5.00 cm. with an uncertainty of 5%, a) what is the percent uncertainty of the volume? %

b) What is the volume of sphere with absolute uncertainty? +/ cm^3

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