We appreciate your visit to What is the volume of a hemisphere with a diameter of tex 37 6 m tex rounded to the nearest tenth of a cubic meter. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The volume of a hemisphere with a diameter of 37.6 meters is calculated using the formula for a sphere's volume divided by two. The final volume is approximately 13926.8 cubic meters when rounded to the nearest tenth.
Explanation:
To calculate the volume of a hemisphere with a given diameter, we use the formula for the volume of a sphere and then divide it by two, since a hemisphere is half of a sphere. The formula for the volume (V) of a sphere is V = (4/3)πr³, where r is the radius of the sphere. For a hemisphere, we use V = ½(4/3)πr³.
The diameter of the hemisphere is 37.6 meters, so the radius (r) is half of that, which is 18.8 meters. Plugging this radius into our formula gives us:
V = ½(4/3)π(18.8)^3
First, we calculate (18.8)^3 and then multiply it by π. Afterward, we multiply by 4/3 and finally divide the result by 2. Let's perform this calculation:
V ≈ ½(4/3)(3.141592653589793)(18.8)^3
V ≈ ½(4/3)(3.141592653589793)(6643.03)
V ≈ ½(4/3)(3.141592653589793)(6643.03)
V ≈ ½(4/3)(20890.2)
V ≈ ½(27853.6)
V ≈ 13926.8 cubic meters
When rounded to the nearest tenth, the volume of the hemisphere is 13926.8 cubic meters.
Thanks for taking the time to read What is the volume of a hemisphere with a diameter of tex 37 6 m tex rounded to the nearest tenth of a cubic meter. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
