A steel cylinder has a length of 2.16 in, a radius of 0.22 in , and a mass of 41 g. What is the density of the steel in gcm3?

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Alix Ortiz · Accepted Answer

Step1  To get the density of the cylinder in gcm3. Solve first the volume of the cylinder using the formula:  volume= πr2h  where r is the radius of the cylinder and h is the height of the cylinder so we have:  volume= π(0.22∈)2(2.16∈)=0.2384∈3  Step 2  Since we are required cm3, we convert ∈3  to  cm3 using the conversion factor 2.54 cm= 1in. So we have:  volume=0.2384∈3×(2.54cm1∈)3=5.3815cm3  Step 3  To solve for density we use the formula:  density=massvolume  So we have:    density=41g5.3815cm3  density=7.62gcm2  Result:  7.62gcm2

fudzisako · Accepted Answer

Step 1:First, let&#039;s find the volume of the cylinder. The volume (V) of a cylinder can be calculated using the formula:V=πr2hwhere r is the radius and h is the height (or length) of the cylinder.Given that the radius r of the cylinder is 0.22 in and the height h is 2.16 in, we can substitute these values into the formula:V=π·(0.22in)2·2.16inStep 2:Now, let&#039;s calculate the volume using a calculator:V≈π·(0.22)2·2.16≈0.331in3Next, we convert the volume from cubic inches to cubic centimeters. Since 1 in3 is approximately equal to 16.387 cm3, we can multiply the volume by this conversion factor:Vcm=0.331in3·16.387cm3/in3Now, let&#039;s calculate the volume in cubic centimeters:Vcm≈0.331·16.387≈5.428cm3Step 3:Finally, we can calculate the density using the formula:Density=MassVolumeGiven that the mass of the cylinder is 41 g, we can substitute the values into the formula:Density=41g5.428cm3Now, let&#039;s calculate the density using a calculator:Density≈415.428≈7.55g/cm3Therefore, the density of the steel cylinder is approximately 7.55 g/cm3.

Jazz Frenia · Accepted Answer

Given:Density=MassVolumeFirst, let&#039;s calculate the volume of the steel cylinder. The volume of a cylinder is given by the formula:Volume=π×radius2×lengthSubstituting the given values, we have:Volume=π×(0.22in)2×(2.16in)Now we can calculate the density using the given mass and the calculated volume:Density=41gVolumeFinally, let&#039;s convert the density to grams per cubic centimeter (g/cm3) by noting that 1 cm = 0.3937 in:Density=41gVolume×(1cm0.3937in)3

xleb123 · Accepted Answer

To find the density of the steel cylinder, we can use the formula:Density=MassVolumeThe mass of the steel cylinder is given as 41 g. To calculate the volume, we can use the formula for the volume of a cylinder:Volume=π×radius2×lengthSubstituting the given values, we have:Volume=π×(0.22in)2×(2.16in)To convert the volume from cubic inches to cubic centimeters, we need to use the conversion factor: 1 in3 = 16.3871 cm3.So, the volume in cm3 can be calculated as:Volume=π×(0.22in)2×(2.16in)×16.3871cm3/in3Now, we can substitute the values into the formula for density:Density=41gπ×(0.22in)2×(2.16in)×16.3871cm3/in3Calculating this expression gives the density of the steel in g/cm3.

A steel cylinder has a length of 2.16 in, a radius of 0.22 in , and a mass of 41

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