Q 42 Find each mass described in Exer... [FREE SOLUTION]

Chapter 6: Q 42 (page 556)

Find each mass described in Exercises 41鈥�48.
The mass of a gold walking stick in the shape of a tall, thin cylinder that is 4 feet high and 3 inches wide. Gold has a density of 19.3 grams per cubic centimeter. (Caution:
Watch your units! You will need to use the conversion 2.54 cm = 1 inch.)

Short Answer

Expert verified

The mass of the gold walking stick is 107.308 grams

Step by step solution

Given Information

A gold walking stick in the shape of cylinder that is 4 feet high and 3 inches wide. Gold has a density of 19.3 grams per cubic centimeter.

Density formula

The density of a substance is the mass per unit volume

The formula for density is

$蚁 = \frac{M}{V} M i s t h e m a s s a n d V i s t h e v o l u m e V = {蟺谤}^{2} h' r' i s t h e r a d i u s a n d h i s t h e h e i g h t o f c y l i n d e r$

Conversion

Convert the given height and radius to centimeter

1 inch = 2.54 cm

$3 i n c h e s = 2.54 * 3 = 7.62 i n c h e s 1 f e e t = 12 i n c h e s 1 f e e t = 12 (2.54) c m 4 f e e t = 4 * 12 * 2.54 = 121.92 c m$

Volume of cylinder

$d i a m e t e r = 7.62 c m R a d i u s = \frac{d i a m e t e r}{2} = \frac{7.62}{2} = 3.81 c m V o l u m e = {蟺谤}^{2} h Volume = 蟺 {(3.81)}^{2} (121.92) Volume = 5560 {cm}^{3}$

find mass

Density formula is

$蚁 = \frac{M}{V} M i s t h e m a s s a n d V i s t h e v o l u m e V = 5560, 蚁 = 19.3 19.3 = \frac{M}{5560} 19.3 (5560) = M M = 107.308 g r a m s$

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91影视

Find each mass described in Exercises 41鈥�48.
The mass of a gold walking stick in the shape of a tall, thin cylinder that is 4 feet high and 3 inches wide. Gold has a density of 19.3 grams per cubic centimeter. (Caution:
Watch your units! You will need to use the conversion 2.54 cm = 1 inch.)

Short Answer

Step by step solution

Given Information

Density formula

Conversion

Volume of cylinder

find mass

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Calculus

Applied Mathematics

Geometry

Logic and Functions

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91影视

Find each mass described in Exercises 41鈥�48.The mass of a gold walking stick in the shape of a tall, thin cylinder that is 4 feet high and 3 inches wide. Gold has a density of 19.3 grams per cubic centimeter. (Caution:Watch your units! You will need to use the conversion 2.54 cm = 1 inch.)

Short Answer

Step by step solution

Given Information

Density formula

Conversion

Volume of cylinder

find mass

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Calculus

Applied Mathematics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find each mass described in Exercises 41鈥�48.
The mass of a gold walking stick in the shape of a tall, thin cylinder that is 4 feet high and 3 inches wide. Gold has a density of 19.3 grams per cubic centimeter. (Caution:
Watch your units! You will need to use the conversion 2.54 cm = 1 inch.)