Question
upstudy study bank question image url

A cylinder has a helght of 16 meters and a radius of 5 meters. What is its volume? Use \( \pi \approx \) 3.14 and round your answer to the nearest hundredth. cubic meters Submit

Ask by Boone Elliott. in the United States
Feb 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The volume of the cylinder is approximately 1,256.00 cubic meters.

Solution

To find the volume of a cylinder, we can use the formula: \[ V = \pi r^2 h \] where: - \( V \) is the volume of the cylinder, - \( r \) is the radius of the cylinder, - \( h \) is the height of the cylinder. Given: - Height (\( h \)) = 16 meters - Radius (\( r \)) = 5 meters - \( \pi \approx 3.14 \) Substitute the given values into the formula: \[ V = 3.14 \times 5^2 \times 16 \] Now, we can calculate the volume of the cylinder. Calculate the value by following steps: - step0: Calculate: \(3.14\times 5^{2}\times 16\) - step1: Multiply the terms: \(50.24\times 5^{2}\) - step2: Rewrite the expression: \(50.24\times 25\) - step3: Multiply the numbers: \(1256\) The volume of the cylinder is approximately 1256 cubic meters. Rounding to the nearest hundredth, the volume is 1256.00 cubic meters.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

To find the volume of a cylinder, you can use the formula: \[ \text{Volume} = \pi r^2 h \] Here, \( r \) is the radius, and \( h \) is the height of the cylinder. Plugging in your values: \[ \text{Volume} = 3.14 \times (5)^2 \times 16 = 3.14 \times 25 \times 16 \] Calculating that gives: \[ 3.14 \times 25 = 78.5 \] and then \[ 78.5 \times 16 = 1256 \] Thus, the volume of the cylinder is approximately **1256.00 cubic meters** when rounded to the nearest hundredth. You can always double-check your calculations and make sure to use a calculator for larger numbers to avoid any little errors that can sneak in, especially when working with a formula. It’s always a good practice to verify each step, especially in geometry where precision matters!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy