Exemplo 9.54 de Prealgebra, 9.6 Solve Geometry Applications: Volume and Surface Area

Solve Geometry Applications: Volume and Surface Area: exemplo 9.54

Problema e solução em inglês, como no livro original.

Find the ⓐ volume and ⓑ surface area of a can of soda. The radius of the base is $4$ centimeters and the height is $13$ centimeters. Assume the can is shaped exactly like a cylinder.

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Find the ⓐ volume and ⓑ surface area of a can of paint with radius 8 centimeters and height 19 centimeters. Assume the can is shaped exactly like a cylinder.

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ⓐ
Step 2. Identify what you are looking for.	the volume of the cylinder
Step 3. Name. Choose a variable to represent it.	let V = volume
Step 4. Translate. Write the appropriate formula. Substitute. (Use 3.14 for $π$ )	$V = π r^{2} h$ $V \approx (3.14) 4^{2} \cdot 13$
Step 5. Solve.	$V \approx 653.12$
Step 6. Check: We leave it to you to check.
Step 7. Answer the question.	The volume is approximately 653.12 cubic centimeters.

ⓑ
Step 2. Identify what you are looking for.	the surface area of the cylinder
Step 3. Name. Choose a variable to represent it.	let S = surface area
Step 4. Translate. Write the appropriate formula. Substitute. (Use 3.14 for $π$ )	$S = 2 π r^{2} + 2 π r h$ $S \approx 2 (3.14) 4^{2} + 2 (3.14) (4) 13$
Step 5. Solve.	$S \approx 427.04$
Step 6. Check: We leave it to you to check your calculations.
Step 7. Answer the question.	The surface area is approximately 427.04 square centimeters.

ⓐ
Step 2. Identify what you are looking for.	the volume of the cylinder
Step 3. Name. Choose a variable to represent it.	let V = volume
Step 4. Translate. Write the appropriate formula. Substitute. (Use 3.14 for $π$ )	$V = π r^{2} h$ $V \approx (3.14) 4^{2} \cdot 13$
Step 5. Solve.	$V \approx 653.12$
Step 6. Check: We leave it to you to check.
Step 7. Answer the question.	The volume is approximately 653.12 cubic centimeters.

ⓑ
Step 2. Identify what you are looking for.	the surface area of the cylinder
Step 3. Name. Choose a variable to represent it.	let S = surface area
Step 4. Translate. Write the appropriate formula. Substitute. (Use 3.14 for $π$ )	$S = 2 π r^{2} + 2 π r h$ $S \approx 2 (3.14) 4^{2} + 2 (3.14) (4) 13$
Step 5. Solve.	$S \approx 427.04$
Step 6. Check: We leave it to you to check your calculations.
Step 7. Answer the question.	The surface area is approximately 427.04 square centimeters.

Solve Geometry Applications: Volume and Surface Area: exemplo 9.54

Solução

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Solve Geometry Applications: Volume and Surface Area: exemplo 9.54

Solução

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