Answer :
Final answer:
The diameter of the cylinder is 8.0 cm
Explanation:
To find the diameter of the cylinder, we can use the formula for the density of an object:
Density (ρ) = Mass (m) / Volume (V)
First, let's convert the mass from kilograms to grams:
Mass (m) = 0.107 kg × 1000 g/kg = 107 g
Next, we need to find the volume of the cylinder. The formula for the volume of a cylinder is:
Volume (V) = πr²h
Where:
- π (pi) is approximately 3.14159
- r is the radius of the cylinder
- h is the height of the cylinder
We are given the density (ρ) as 8.96 g/cm³, the mass (m) as 107 g, and the height (h) as 35.9 cm. We need to solve for the radius (r).
First, rearrange the density formula to solve for volume:
Volume (V) = Mass (m) / Density (ρ)
Now, plug in the values:
Volume (V) = 107 g / 8.96 g/cm³ ≈ 11.92 cm³
Now, plug the values into the volume formula:
11.92 cm³ = πr² × 35.9 cm
Now, solve for the radius (r):
r² = 11.92 cm³ / (π × 35.9 cm)
r² ≈ 0.105 cm²
r ≈ √0.105 cm ≈ 0.324 cm
Finally, to find the diameter, multiply the radius by 2:
Diameter = 2 × 0.324 cm ≈ 0.648 cm ≈ 8.0 cm (rounded to one decimal place)
So, the correct option is c) 8.0 cm.
Learn more about Diameter
brainly.com/question/16092291
#SPJ11
