Class 9 Exam > Class 9 Questions > The volume of a hemispherical bowl of radius ...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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'..
Free Test
FREE
| Start Free Test |
Community Answer
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.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Test: The Fundamental Unit of Life- Case Based Type Questions- 1
Test | 10 questions
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup