Class 10 Exam > Class 10 Questions > A right triangle with sides 3cm, 4cm and 5cm ...
Start Learning for Free
A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is?
Most Upvoted Answer
A right triangle with sides 3cm, 4cm and 5cm is rotated about the side...
Understanding the Cone Formation
When the right triangle with sides 3 cm, 4 cm, and 5 cm is rotated about the 3 cm side, a cone is formed. In this case, the 3 cm side becomes the height of the cone, while the 4 cm side becomes the radius.
Identifying the Parameters
- Height (h) of the cone = 3 cm
- Radius (r) of the cone = 4 cm
Volume of the Cone
The volume (V) of a cone can be calculated using the formula:
V = (1/3) * π * r² * h
- Here, π (pi) is approximately 3.14.
- Substitute the values:
- r = 4 cm
- h = 3 cm
Calculating the Volume
1. Calculate r²:
- r² = 4 cm * 4 cm = 16 cm²
2. Substitute into the volume formula:
- V = (1/3) * π * 16 cm² * 3 cm
3. Simplify:
- V = (1/3) * 3.14 * 16 cm² * 3 cm
- V = (1/3) * 3.14 * 48 cm³
- V = 50.24 cm³ (approximately)
Final Result
The volume of the cone formed by rotating the right triangle around the 3 cm side is approximately 50.24 cm³.
When the right triangle with sides 3 cm, 4 cm, and 5 cm is rotated about the 3 cm side, a cone is formed. In this case, the 3 cm side becomes the height of the cone, while the 4 cm side becomes the radius.
Identifying the Parameters
- Height (h) of the cone = 3 cm
- Radius (r) of the cone = 4 cm
Volume of the Cone
The volume (V) of a cone can be calculated using the formula:
V = (1/3) * π * r² * h
- Here, π (pi) is approximately 3.14.
- Substitute the values:
- r = 4 cm
- h = 3 cm
Calculating the Volume
1. Calculate r²:
- r² = 4 cm * 4 cm = 16 cm²
2. Substitute into the volume formula:
- V = (1/3) * π * 16 cm² * 3 cm
3. Simplify:
- V = (1/3) * 3.14 * 16 cm² * 3 cm
- V = (1/3) * 3.14 * 48 cm³
- V = 50.24 cm³ (approximately)
Final Result
The volume of the cone formed by rotating the right triangle around the 3 cm side is approximately 50.24 cm³.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is?
Question Description
A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is?.
A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is?.
Solutions for A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? defined & explained in the simplest way possible. Besides giving the explanation of
A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is?, a detailed solution for A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? has been provided alongside types of A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? theory, EduRev gives you an
ample number of questions to practice A right triangle with sides 3cm, 4cm and 5cm is rotated about the side of 3cm to form a cone. The volume of the cone so formed is? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
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