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The volume of a hemispherical bowl of radius 10.5 cm is
- a)2025.5 cm3
- b)2435.5 cm3
- c)2425.5 cm3
- d)2225.5 cm3
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2...
As the formula of the volume of hemisphere is - ⅔× π × r³ that's why the correct answer is 'C'..
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The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2...
To find the volume of a hemispherical bowl, we can use the formula for the volume of a sphere, which is (4/3)πr^3, and then divide it by 2 since we only need half of the sphere for the bowl.
Given that the radius of the hemispherical bowl is 10.5 cm, we can substitute this value into the formula:
Volume = (4/3)π(10.5 cm)^3 / 2
Now let's calculate the volume step by step:
Step 1: Calculate the cube of the radius
(10.5 cm)^3 = 10.5 cm × 10.5 cm × 10.5 cm = 1157.625 cm^3
Step 2: Multiply the cube of the radius by π
1157.625 cm^3 × π ≈ 3631.491 cm^3
Step 3: Divide the result by 2
3631.491 cm^3 / 2 ≈ 1815.7455 cm^3
Therefore, the volume of the hemispherical bowl is approximately 1815.7455 cm^3.
Since the answer choices are in whole numbers, we can round this value to the nearest whole number.
Rounding 1815.7455 cm^3 to the nearest whole number gives us 1816 cm^3.
However, none of the answer choices are exactly 1816 cm^3. The closest answer choice is 2425.5 cm^3, which is approximately 1815.75 cm^3 when rounded to two decimal places.
Therefore, the correct answer is option 'C' - 2425.5 cm^3.
Given that the radius of the hemispherical bowl is 10.5 cm, we can substitute this value into the formula:
Volume = (4/3)π(10.5 cm)^3 / 2
Now let's calculate the volume step by step:
Step 1: Calculate the cube of the radius
(10.5 cm)^3 = 10.5 cm × 10.5 cm × 10.5 cm = 1157.625 cm^3
Step 2: Multiply the cube of the radius by π
1157.625 cm^3 × π ≈ 3631.491 cm^3
Step 3: Divide the result by 2
3631.491 cm^3 / 2 ≈ 1815.7455 cm^3
Therefore, the volume of the hemispherical bowl is approximately 1815.7455 cm^3.
Since the answer choices are in whole numbers, we can round this value to the nearest whole number.
Rounding 1815.7455 cm^3 to the nearest whole number gives us 1816 cm^3.
However, none of the answer choices are exactly 1816 cm^3. The closest answer choice is 2425.5 cm^3, which is approximately 1815.75 cm^3 when rounded to two decimal places.
Therefore, the correct answer is option 'C' - 2425.5 cm^3.
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The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2435.5 cm3c)2425.5 cm3d)2225.5 cm3Correct answer is option 'C'. Can you explain this answer?
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The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2435.5 cm3c)2425.5 cm3d)2225.5 cm3Correct answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2435.5 cm3c)2425.5 cm3d)2225.5 cm3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2435.5 cm3c)2425.5 cm3d)2225.5 cm3Correct answer is option 'C'. Can you explain this answer?.
The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2435.5 cm3c)2425.5 cm3d)2225.5 cm3Correct answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2435.5 cm3c)2425.5 cm3d)2225.5 cm3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a hemispherical bowl of radius 10.5 cm isa)2025.5 cm3b)2435.5 cm3c)2425.5 cm3d)2225.5 cm3Correct answer is option 'C'. Can you explain this answer?.
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