Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
A cylinder has a volume of 100π cm³ and a height of 10 cm. What is the radius of
A cylinder has a volume of 100π cm³ and a height of 10 cm. What is the radius of the base?
Expand All
Collapse All
Practice Questions
1 question
Q1
A cylinder has a volume of 100π cm³ and a height of 10 cm. What is the radius of the base?
2 cm
3 cm
4 cm
5 cm
Show Solution
Copy
Volume = πr²h. Therefore, 100π = πr²(10) => r² = 10 => r = √10 ≈ 3.16 cm.
Questions & Step-by-step Solutions
1 item
Q
Q: A cylinder has a volume of 100π cm³ and a height of 10 cm. What is the radius of the base?
Solution:
Volume = πr²h. Therefore, 100π = πr²(10) => r² = 10 => r = √10 ≈ 3.16 cm.
Steps: 6
Show Steps
Step 1: Write down the formula for the volume of a cylinder: Volume = πr²h.
Step 2: Substitute the known values into the formula. We know the volume is 100π cm³ and the height is 10 cm, so we write: 100π = πr²(10).
Step 3: Simplify the equation by dividing both sides by π. This gives us: 100 = r²(10).
Step 4: Now, divide both sides by 10 to isolate r²: 100 / 10 = r², which simplifies to 10 = r².
Step 5: To find the radius r, take the square root of both sides: r = √10.
Step 6: Calculate the approximate value of √10, which is about 3.16 cm.
Related Questions
W
Which sentence would best fit in the blank space in the following paragraph? 'Wh
Question: Which sentence would best fit in the blank space in the following paragraph? \'While socia..
W
What can be inferred about the author's attitude towards social media?
Question: What can be inferred about the author\'s attitude towards social media?Options: The author..
W
What is the author's main argument regarding the future of social media?
Question: What is the author\'s main argument regarding the future of social media?Options: It will ..
W
Which of the following words best captures the essence of the author's perspecti
Question: Which of the following words best captures the essence of the author\'s perspective on soc..
A
A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π = 3
Question: A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π = 3.14) (2023..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
