   Chapter 2, Problem 45E

Chapter
Section
Textbook Problem

A metal cylinder has a radius of 0.55 cm and a length of 2.85 cm. Its mass is 24.3 grams.a. What is the density of the metal? For a cylinder, V = π r 2 × h , where r is the radius of the cylinder and h is the height of the cylinder. π = 3.14 .b. Compare the density of the metal to the densities of various substances listed in Table 2.4. Can you identify the metal?

Interpretation Introduction

Interpretation:

The density of a metal cylinder is to be calculated and the metal is to be identified by comparing its density to the densities of various substances listed in Table-2.4.

Concept Introduction:

Density of a substance is a measure of compactness of that substance. It is defined as the mass of a substance present in per unit of its volume. The unit of density is derived when the unit of mass is divided by the unit of volume. Its most common units are g/cm3 and g/mL.

Density = Mass Volume

Explanation

a) The density of the metal having as radius of 0.55cm, a length of 2.85cm and its mass is 24.3grams.

Volume of cylinder is calculated as:

Volume of cylinder = πr2h

Substitute the given values in the above equation as:

Volume of cylinder = 3.14 ×(0.55 cm)2×2.85 cmVolume of cylinder = 2.7 cm3

Thus, the volume of the metal cylinder is 2.7 cm3

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