QuestionAugust 21, 2025

11. What is the mass of a cylinder of lead with a radius of 2 cm and a height of 6 cm given that the density of lead is 11.4g/cubic centimeter?

11. What is the mass of a cylinder of lead with a radius of 2 cm and a height of 6 cm given that the density of lead is 11.4g/cubic centimeter?
11. What is the mass of a cylinder of lead with a radius of 2 cm and a height of 6 cm given that the density
of lead is 11.4g/cubic centimeter?

Solution
4.1(166 votes)

Answer

The mass of the cylinder is approximately 859.44 grams. Explanation 1. Calculate the Volume of the Cylinder Use the formula for the volume of a cylinder: **V = \pi r^2 h**. Here, r = 2 cm and h = 6 cm. So, V = \pi (2)^2 (6) = 24\pi cubic centimeters. 2. Calculate the Mass Use the formula for mass: **m = \text{density} \times \text{volume}**. Given density is 11.4 \, \text{g/cm}^3, so m = 11.4 \times 24\pi grams.

Explanation

1. Calculate the Volume of the Cylinder<br /> Use the formula for the volume of a cylinder: **$V = \pi r^2 h$**. Here, $r = 2$ cm and $h = 6$ cm. So, $V = \pi (2)^2 (6) = 24\pi$ cubic centimeters.<br /><br />2. Calculate the Mass<br /> Use the formula for mass: **$m = \text{density} \times \text{volume}$**. Given density is $11.4 \, \text{g/cm}^3$, so $m = 11.4 \times 24\pi$ grams.
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