After reviewing this information, solve the following question. Find the volume and surface area of a tube that has the shape of a cylinder with radius 4 feet and height 19 feet (round your answer to two decimal places). OA. Surface Area = 377.76 square feet Volume = 754.56 cubic feet OB. Surface Area = 577.76 square feet Volume = 954.56 cubic feet C. Surface Area = 477.76 square feet Volume = 884.56 cubic feet D. Surface Area = 411.76 square feet Volume = 874.56 cubic feet E. Surface Area = 677.76 square feet

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Cylinder Volume and Surface Area Calculation**

**Problem Statement:**

Find the volume and surface area of a tube that has the shape of a cylinder with a radius of 4 feet and a height of 19 feet. Round your answer to two decimal places.

**Options:**

- **A.** Surface Area = 377.76 square feet  
  Volume = 754.56 cubic feet

- **B.** Surface Area = 577.76 square feet  
  Volume = 954.56 cubic feet

- **C.** Surface Area = 477.76 square feet  
  Volume = 884.56 cubic feet

- **D.** Surface Area = 411.76 square feet  
  Volume = 874.56 cubic feet

- **E.** Surface Area = 677.76 square feet  
  Volume = 957.56 cubic feet

**Calculation Summary:**

1. **Volume of a Cylinder:**
   - Formula: \( V = \pi r^2 h \)
   - Where \( r = 4 \) feet and \( h = 19 \) feet.

2. **Surface Area of a Cylinder:**
   - Formula: \( SA = 2\pi r(h + r) \)

**Steps:**

1. Calculate the volume using the given formula.
2. Calculate the surface area using the given formula.
3. Match your calculations to the options provided to find the correct answer.

Choose the option that provides the correct volume and surface area based on your calculations.
Transcribed Image Text:**Cylinder Volume and Surface Area Calculation** **Problem Statement:** Find the volume and surface area of a tube that has the shape of a cylinder with a radius of 4 feet and a height of 19 feet. Round your answer to two decimal places. **Options:** - **A.** Surface Area = 377.76 square feet Volume = 754.56 cubic feet - **B.** Surface Area = 577.76 square feet Volume = 954.56 cubic feet - **C.** Surface Area = 477.76 square feet Volume = 884.56 cubic feet - **D.** Surface Area = 411.76 square feet Volume = 874.56 cubic feet - **E.** Surface Area = 677.76 square feet Volume = 957.56 cubic feet **Calculation Summary:** 1. **Volume of a Cylinder:** - Formula: \( V = \pi r^2 h \) - Where \( r = 4 \) feet and \( h = 19 \) feet. 2. **Surface Area of a Cylinder:** - Formula: \( SA = 2\pi r(h + r) \) **Steps:** 1. Calculate the volume using the given formula. 2. Calculate the surface area using the given formula. 3. Match your calculations to the options provided to find the correct answer. Choose the option that provides the correct volume and surface area based on your calculations.
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