Class 10 Exam > Class 10 Questions > A solid is in a form of a right circular cone...
Start Learning for Free
A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube?
Most Upvoted Answer
A solid is in a form of a right circular cone mounted on a hemisphere....
Community Answer
A solid is in a form of a right circular cone mounted on a hemisphere....
Given:
- Radius of hemisphere (rh) = 2.1 cm
- Height of cone (hc) = 4 cm
- Radius of cylinder (rc) = 5 cm
- Height of cylinder (hc) = 9.8 cm
To find:
- Volume of water left in the tube
Step 1: Find the volume of the solid
The solid is formed by a cone mounted on a hemisphere. To find the volume of the solid, we need to find the volume of the cone and the hemisphere separately, and then add them together.
Volume of Cone (Vc):
The volume of a cone is given by the formula Vc = (1/3)πr²h, where r is the radius of the base and h is the height. Substituting the given values, we get:
Vc = (1/3)π(2.1)²(4)
Vc = (1/3)π(4.41)(4)
Vc ≈ 18.48 cm³
Volume of Hemisphere (Vh):
The volume of a hemisphere is given by the formula Vh = (2/3)πr³, where r is the radius. Substituting the given value, we get:
Vh = (2/3)π(2.1)³
Vh ≈ 24.01 cm³
Total Volume of Solid (Vsolid):
To find the total volume of the solid, we add the volumes of the cone and the hemisphere:
Vsolid = Vc + Vh
Vsolid ≈ 18.48 + 24.01
Vsolid ≈ 42.49 cm³
Step 2: Find the volume of the cylinder
The volume of a cylinder is given by the formula Vcylinder = πr²h, where r is the radius and h is the height. Substituting the given values, we get:
Vcylinder = π(5)²(9.8)
Vcylinder ≈ 769.69 cm³
Step 3: Find the volume of water left in the tube
The volume of water left in the tube is equal to the volume of the cylinder minus the volume of the solid:
Volume of water left = Vcylinder - Vsolid
Volume of water left ≈ 769.69 - 42.49
Volume of water left ≈ 727.2 cm³
Therefore, the volume of water left in the tube is approximately 727.2 cm³.
- Radius of hemisphere (rh) = 2.1 cm
- Height of cone (hc) = 4 cm
- Radius of cylinder (rc) = 5 cm
- Height of cylinder (hc) = 9.8 cm
To find:
- Volume of water left in the tube
Step 1: Find the volume of the solid
The solid is formed by a cone mounted on a hemisphere. To find the volume of the solid, we need to find the volume of the cone and the hemisphere separately, and then add them together.
Volume of Cone (Vc):
The volume of a cone is given by the formula Vc = (1/3)πr²h, where r is the radius of the base and h is the height. Substituting the given values, we get:
Vc = (1/3)π(2.1)²(4)
Vc = (1/3)π(4.41)(4)
Vc ≈ 18.48 cm³
Volume of Hemisphere (Vh):
The volume of a hemisphere is given by the formula Vh = (2/3)πr³, where r is the radius. Substituting the given value, we get:
Vh = (2/3)π(2.1)³
Vh ≈ 24.01 cm³
Total Volume of Solid (Vsolid):
To find the total volume of the solid, we add the volumes of the cone and the hemisphere:
Vsolid = Vc + Vh
Vsolid ≈ 18.48 + 24.01
Vsolid ≈ 42.49 cm³
Step 2: Find the volume of the cylinder
The volume of a cylinder is given by the formula Vcylinder = πr²h, where r is the radius and h is the height. Substituting the given values, we get:
Vcylinder = π(5)²(9.8)
Vcylinder ≈ 769.69 cm³
Step 3: Find the volume of water left in the tube
The volume of water left in the tube is equal to the volume of the cylinder minus the volume of the solid:
Volume of water left = Vcylinder - Vsolid
Volume of water left ≈ 769.69 - 42.49
Volume of water left ≈ 727.2 cm³
Therefore, the volume of water left in the tube is approximately 727.2 cm³.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube?
Question Description
A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube?.
A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube?.
Solutions for A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? 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 solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? defined & explained in the simplest way possible. Besides giving the explanation of
A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube?, a detailed solution for A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? has been provided alongside types of A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? theory, EduRev gives you an
ample number of questions to practice A solid is in a form of a right circular cone mounted on a hemisphere. The radius of hemisphere is 2.1cm and the height of a cone is 4cm. The solid is placed in a cylindrical tube full of water is such a way that the whole solid is submerged in water. If the radius of a cylinder is 5cm and it's height is 9.8cm ,find the volume of water left in the tube? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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