Class 8 Exam > Class 8 Questions > Which has greater volume a cylinder of height...
Start Learning for Free
Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!?
Most Upvoted Answer
Which has greater volume a cylinder of height 22 cm and diameter of ba...
Comparison of Volumes
To determine which shape has a greater volume, we will calculate the volumes of both the cylinder and the cube.
Volume of the Cylinder
- Formula: Volume = πr²h
- Given Data:
- Height (h) = 22 cm
- Diameter of base = 20 cm → Radius (r) = Diameter/2 = 10 cm
- Calculation:
- Volume = π × (10 cm)² × 22 cm
- Volume = π × 100 cm² × 22 cm
- Volume ≈ 3.14 × 2200 cm³ ≈ 6914 cm³ (using π ≈ 3.14)
Volume of the Cube
- Formula: Volume = a³
- Given Data:
- Length of edge (a) = 19 cm
- Calculation:
- Volume = (19 cm)³
- Volume = 6859 cm³
Comparison of Volumes
- Cylinder Volume: 6914 cm³
- Cube Volume: 6859 cm³
Conclusion
- The cylinder has a greater volume than the cube.
- Difference in Volume:
- Difference = Cylinder Volume - Cube Volume
- Difference = 6914 cm³ - 6859 cm³ = 55 cm³
Thus, the cylinder exceeds the cube in volume by 55 cm³.
To determine which shape has a greater volume, we will calculate the volumes of both the cylinder and the cube.
Volume of the Cylinder
- Formula: Volume = πr²h
- Given Data:
- Height (h) = 22 cm
- Diameter of base = 20 cm → Radius (r) = Diameter/2 = 10 cm
- Calculation:
- Volume = π × (10 cm)² × 22 cm
- Volume = π × 100 cm² × 22 cm
- Volume ≈ 3.14 × 2200 cm³ ≈ 6914 cm³ (using π ≈ 3.14)
Volume of the Cube
- Formula: Volume = a³
- Given Data:
- Length of edge (a) = 19 cm
- Calculation:
- Volume = (19 cm)³
- Volume = 6859 cm³
Comparison of Volumes
- Cylinder Volume: 6914 cm³
- Cube Volume: 6859 cm³
Conclusion
- The cylinder has a greater volume than the cube.
- Difference in Volume:
- Difference = Cylinder Volume - Cube Volume
- Difference = 6914 cm³ - 6859 cm³ = 55 cm³
Thus, the cylinder exceeds the cube in volume by 55 cm³.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!?
Question Description
Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!?.
Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!?.
Solutions for Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? defined & explained in the simplest way possible. Besides giving the explanation of
Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!?, a detailed solution for Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? has been provided alongside types of Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? theory, EduRev gives you an
ample number of questions to practice Which has greater volume a cylinder of height 22 cm and diameter of base 20 CM or a cube with length of edge 19 cm and by how much!? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup