Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 41

What is the surface area of a right cylinder of height \(20.5 \mathrm{~cm}\) and radius \(11.9 \mathrm{~cm} ?\)

Short Answer

Expert verified
Answer: The approximate surface area of the right cylinder is 2422.79 cm².

Step by step solution

01

Identify the given values

The given values in the exercise are: - Height of the cylinder, \(h = 20.5 \mathrm{~cm}\) - Radius of the base, \(r_\text{base} = 11.9 \mathrm{~cm}\)
02

Apply the surface area formula

Now use the surface area formula as follows: \(A_\text{cylinder} = 2\pi r_\text{base}^2 + 2\pi r_\text{base} h\)
03

Substitute the given values into the formula

Plug the given height and radius values into the formula: \(A_\text{cylinder} = 2\pi (11.9)^2 + 2\pi (11.9)(20.5)\)
04

Calculate

Perform the calculations to find the surface area: \(A_\text{cylinder} = 2\pi (141.61) + 2\pi (243.95)\) \(A_\text{cylinder} = 283.22\pi + 487.9\pi \) \(A_\text{cylinder} = 771.12\pi\)
05

Convert to the approximate value

Multiply by the value of pi (approximately \(3.14\)) to get the final result: \(A_\text{cylinder} \approx 771.12 \times 3.14 \approx 2422.79 \mathrm{~cm}^2\) So the surface area of the right cylinder is approximately \(2422.79 \mathrm{~cm}^2\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Express the vectors \(A=\left(A_{x}, A_{y}\right)=(-30.0 \mathrm{~m},-50.0 \mathrm{~m})\) and \(\vec{B}=\left(B_{x}, B_{y}\right)=(30.0 \mathrm{~m}, 50.0 \mathrm{~m})\) by giving their magnitude and direction as measured from the positive \(x\) -axis.

By how much does the volume of a cylinder change if the radius is halved and the height is doubled? a) The volume is quartered. d) The volume doubles. b) The volume is cut in half. e) The volume c) There is no change in the volume. quadruples.

The force \(F\) a spring exerts on you is directly proportional to the distance \(x\) you stretch it beyond its resting length. Suppose that when you stretch a spring \(8.00 \mathrm{~cm},\) it exerts a 200. N force on you. How much force will it exert on you if you stretch it \(40.0 \mathrm{~cm} ?\)

A map in a pirate's log gives directions to the location of a buried treasure. The starting location is an old oak tree. According to the map, the treasure's location is found by proceeding 20 paces north from the oak tree and then 30 paces northwest. At this location, an iron pin is sunk in the ground. From the iron pin, walk 10 paces south and dig. How far (in paces) from the oak tree is the spot at which digging occurs?

On August 27,2003 , Mars approached as close to Earth as it will for over 50,000 years. If its angular size (the planet's radius, measured by the angle the radius subtends) on that day was measured by an astronomer to be 24.9 seconds of arc, and its radius is known to be \(6784 \mathrm{~km}\), how close was the approach distance? Be sure to use an appropriate number of significant figures in your answer.
See all solutions

Recommended explanations on Physics Textbooks

Magnetism

Read Explanation

Geometrical and Physical Optics

Read Explanation

Classical Mechanics

Read Explanation

Astrophysics

Read Explanation

Kinematics Physics

Read Explanation

Translational Dynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free