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A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What is its depth?
- a)24 m
- b)26 cm
- c)28 cm
- d)32 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What...
To find the depth of the cylindrical tank, we can use the formula for the volume of a cylinder.
Volume of a Cylinder
The volume \( V \) of a cylinder is calculated using the formula:
\[ V = \pi r^2 h \]
Where:
- \( V \) = volume of the cylinder
- \( r \) = radius of the cylinder
- \( h \) = height (or depth) of the cylinder
Given Data
- Capacity \( V = 5632 \, m^3 \)
- Diameter \( d = 16 \, m \)
Calculating Radius
To find the radius, we use the diameter:
\[ r = \frac{d}{2} = \frac{16}{2} = 8 \, m \]
Substituting Values
Now, we substitute the values into the volume formula:
\[ 5632 = \pi (8)^2 h \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
So the equation becomes:
\[ 5632 = \pi \times 64 \times h \]
Solving for Depth (h)
Now, we isolate \( h \):
\[ h = \frac{5632}{\pi \times 64} \]
Using \( \pi \approx 3.14 \):
\[ h = \frac{5632}{3.14 \times 64} \]
Calculating \( 3.14 \times 64 \):
\[ 3.14 \times 64 \approx 200.96 \]
Now substituting back:
\[ h \approx \frac{5632}{200.96} \approx 28 \, m \]
Conclusion
Thus, the depth of the cylindrical tank is approximately 28 meters. Therefore, the correct answer is option 'C'.
Volume of a Cylinder
The volume \( V \) of a cylinder is calculated using the formula:
\[ V = \pi r^2 h \]
Where:
- \( V \) = volume of the cylinder
- \( r \) = radius of the cylinder
- \( h \) = height (or depth) of the cylinder
Given Data
- Capacity \( V = 5632 \, m^3 \)
- Diameter \( d = 16 \, m \)
Calculating Radius
To find the radius, we use the diameter:
\[ r = \frac{d}{2} = \frac{16}{2} = 8 \, m \]
Substituting Values
Now, we substitute the values into the volume formula:
\[ 5632 = \pi (8)^2 h \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
So the equation becomes:
\[ 5632 = \pi \times 64 \times h \]
Solving for Depth (h)
Now, we isolate \( h \):
\[ h = \frac{5632}{\pi \times 64} \]
Using \( \pi \approx 3.14 \):
\[ h = \frac{5632}{3.14 \times 64} \]
Calculating \( 3.14 \times 64 \):
\[ 3.14 \times 64 \approx 200.96 \]
Now substituting back:
\[ h \approx \frac{5632}{200.96} \approx 28 \, m \]
Conclusion
Thus, the depth of the cylindrical tank is approximately 28 meters. Therefore, the correct answer is option 'C'.
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A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What is its depth?a)24 mb)26 cmc)28 cmd)32 cmCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What is its depth?a)24 mb)26 cmc)28 cmd)32 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What is its depth?a)24 mb)26 cmc)28 cmd)32 cmCorrect answer is option 'C'. Can you explain this answer?.
A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What is its depth?a)24 mb)26 cmc)28 cmd)32 cmCorrect answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What is its depth?a)24 mb)26 cmc)28 cmd)32 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical tank has capacity of 5632 m3. Its diameter is 16 m. What is its depth?a)24 mb)26 cmc)28 cmd)32 cmCorrect answer is option 'C'. Can you explain this answer?.
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