A spherical water tank has a dilameter of 33 m. How much water can the tank hold, to the nearest cublc meter? Do not round any Intermedlate steps. The tank can hold about cubic meters of water.
A spherical water tank has a dilameter of 33 m. How much water can the tank hold, to the nearest cublc meter? Do not round any Intermedlate steps. The tank can hold about cubic meters of water.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### Question 11 of 19
A spherical water tank has a diameter of 33 m. How much water can the tank hold, to the nearest cubic meter? Do not round any intermediate steps.
**The tank can hold about [ ] cubic meters of water.**
---
**Instructions:**
To calculate the volume of the spherical water tank, you can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Where:
- \( V \) is the volume
- \( r \) is the radius of the sphere
- \( \pi \) is approximately 3.14159
Given that the diameter of the tank is 33 meters, you first need to find the radius, which is half of the diameter.
\[ r = \frac{33}{2} = 16.5 \, \text{m} \]
Next, plug the radius back into the volume formula:
\[ V = \frac{4}{3} \pi (16.5)^3 \]
Complete the calculations step by step to find the volume. Finally, round your answer to the nearest cubic meter.
To learn more about calculating volumes of different shapes, visit our comprehensive geometry section.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9bcd254-903f-482d-922c-1ecef4183c9a%2F2790216b-7499-436b-a726-773c68534fe2%2Fmpeqn7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 11 of 19
A spherical water tank has a diameter of 33 m. How much water can the tank hold, to the nearest cubic meter? Do not round any intermediate steps.
**The tank can hold about [ ] cubic meters of water.**
---
**Instructions:**
To calculate the volume of the spherical water tank, you can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
Where:
- \( V \) is the volume
- \( r \) is the radius of the sphere
- \( \pi \) is approximately 3.14159
Given that the diameter of the tank is 33 meters, you first need to find the radius, which is half of the diameter.
\[ r = \frac{33}{2} = 16.5 \, \text{m} \]
Next, plug the radius back into the volume formula:
\[ V = \frac{4}{3} \pi (16.5)^3 \]
Complete the calculations step by step to find the volume. Finally, round your answer to the nearest cubic meter.
To learn more about calculating volumes of different shapes, visit our comprehensive geometry section.
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