The radius of a solid sphere is measured to be (6.30 i 0.30) cm, and its mass is measured to be (1.74 i 0.05) kg. Determine the density of the sphere in kilograms per cubic meter and the uncertainty in the density. (Use the correct number of significant figures. Use the Am , 3Ar following formula to calculate the uncertainty in the density:

Q: The radius of a circle is measured to be (11.7 ± 0.7) m. Calculate each of the following and give…

A: in this question  we find area and circumference of circle . it depend upon it's radius.

Q: The radius of a uniform solid sphere is measured to be (6.50 ± 0.20) cm, and its mass is measured to…

A: r = (6.50 ± 0.20) cm mass M = (1.85 ± 0.02) kg.

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A: As all the-given values are of three significant decimal digits so answer should also be rounded off…

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A: The given value of flow rate is, For a logarithmic value (base 10), the absolute uncertainty can be…

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A: (a) Percentage uncertainty in θ

Q: What is the approximate percent uncertainty in the measurement given   1.57 m2?

A: The given measured quantity is,

Q: 1. A cylinder has a radius of 4.6 ± 0.4 cm and a height of 5.36± 0.3 cm. (a) Find the volume of this…

A: a) The volume of the cylinder is,

Q: A good-quality measuring tape can be off by 0.50 cm over a distance of 20 m. What is its percent…

A:

Q: Find the uncertainty in a calculated average speed from the measurements of distance and time.…

A: Given data: x = 6.4 m and δx=0.6 m t = 4.9 s and δt=1.3 s

Q: What is the area, and its approximate uncertainty, of a circle of radius 3.1 X 104 cm?

A: Area of the circle can be obtained as Rounding off to least significant figure gives

Q: The length and width of a rectangular room are measuredto be 3.955 ± 0.005 m and 3.050 ± 0.005 m .…

A: Given: Length of the rectangular room (l) = 3.955±0.005 m. Width of the rectangular room (w) =…

Q: Our classroom was kept at 25.0°C during your experiment, so v is predicted to be 343 m/s. What is…

A: Given data :              Speed of sound in air ;                                          Expected…

Q: What is the percent uncertainty in the measurement 6.32 + 0.01 m? А. 0.32% B. .0.01% С. 0.16% D.…

A:

Q: To measure the perimeter of a triangle, the lengths of sides AB, BC and CA are measured using a…

A: Resolution of caliper = 0.05mm Length of side AB =50.2mm Length of side BC =55.15mm Length of side…

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A:

Q: If x = 3.54 ± 0.02 y 8.03 ± 0.04 z = 5.02 ± 0.02, what is the absolute uncertainty in f = (x + y -…

A: A quantity can be written as x = x ± Δx  x = measured value Δx = uncertainty in meassurement

Q: A cylinder has a radius of ( 1.60 ±0.01) cm and a height of ( 11.5 ± 0.1) cm find the volume and its…

A: The volume of the cylinder is given by  V = π r2 h where, r is the radius and h is the height.

Q: Why does the SI Measurement System use “kilogram” instead of “gram” as the base unit of mass?

A: Here, we have to answer , why is kilogram used instead of gram as the base unit of mass. Let's see…

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A:

Q: A rectangle has a length of (2.3 ± 0.1) m and a width of (1.4 ± 0.2) m. Calculate the area and the…

A:

Q: Read the following instruments with proper significant digits and units and indicate the c number of…

A: Here given scale is cm scale. (2) 7.7 cm (2 significant figures)

Q: The radius of a circle is measured to be (10.5 ± 0.2) m. Calculate(a) the area and (b) the…

A: (a) The area of the circle is

Q: After carrying out some calculations (based on experimental data) your calculator shows that the…

A: Given: The mass of the object is 178.54968 g. The uncertainty in the mass is ±25.0163482 g.…

Q: Here's the aluminum (Al) cylinder: 1 4 Here's the lead (Pb) cylinder: 3. 1. What is your estimate…

A: To determine: Length, volume, density and their uncertainties.

Q: What is the percent uncertainty in the area of a circle whose radius is 1.8 × 104 cm?

A:

Q: What, roughly, is the percent uncertainty in the volume of a spherical beach ball of radius r = 0.84…

A:

Q: A person measures his or her heart rate by counting the number of beats in 30s. If 40+1 beats are…

A: Given the number of beats is 40. And the uncertainty with beats is 1. The time is defined as 30 s,…

Q: You also measure the length of a side of the cube using a ruler and get the value 3.15+0.05 cm.…

A: We need to calculate volume with proper error uncertainty value.

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A: Given in question -  Height of building(H)= 46.857 m…

Q: Which of the following pairs of measured numbers have the same uncertainty or error in both numbers?…

A:

Q: A good-quality measuring tape can be off by 0.58 cm over a distance of 23 m. What is its percent…

A: a measuring tape can be off by 0.58 cm = (0.58 / 100) m Here, 100 cm = 1m and 1 cm = (1/100) m Total…

Q: 1. The following data are the measurements of the dimensions of a box: l = 8.6 ± 0.5 cm h =…

A: (1)GIVEN THE MEASUREMENT OF THE THE RECTANGULAR BOX ARE, l= 8.6±0.5

Q: The lengths of the sides of a rectangular box are measured using a ruler marked with a millimeter…

A:

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A: Given:  Lab experiment measurements with its relative error.  We have to mention why we choose the…

Q: 5. (a) What is the percent uncertainty in the measurement 8.55 ± 0.36 m? (b) Determine the number of…

A: Percentage uncertainty of a measured value is given by-uncertainityvalue×100=percentage uncertainty…

Q: A cylinder was measured to have length 4.24 + 0.01 cm and diameter of the cross-sectional area 2.16…

A:

Q: What is the area, and its approximate uncertainty, of a circle of radius  3.1 x104 cm?

A:

Q: A parameter x is measured with a relative uncertainty of 4 percent. If x=19.0, what is the absolute…

A: Given data:

Q: A rectangle has a length of (2.7+_0.1) m and a width of (1.6+_0.2) m. Calculate the area and the…

A: Given,

Q: The sides of a small rectangular box are measured to be 1.80 + 0.01 cm, 2.05 ± 0.02 cm, and 3.1 t…

A: Given data: Length l= 1.8 cm Uncertainty in length ∆l Breadth, b = 2.05 cm Uncertainty  in breadth,…

Q: The diameter, d, of a small circular play area is 5.0 m + 0.1 m. The area, A, is calculated using…

A: The area is calculated using the equation,…

Q: 18. How many significant figures are there in 320? Express your answer in numbers (1,2,3,4,5, etc.)…

A:

Q: What is the area, and its approximate uncertainty, of a circle of radius 3.1 × 104 cm?

A: Given: Radius of circle=R=3.1×104 In this Question, we would Assume an uncertainty in the radius of…

Estimate of calculation