Class 9 Exam  >  Class 9 Questions  >  A solid iron cone consists of cylinder of hei... Start Learning for Free
A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)?
Verified Answer
A solid iron cone consists of cylinder of height 220 cm and base diame...


This question is part of UPSC exam. View all Class 9 courses
Most Upvoted Answer
A solid iron cone consists of cylinder of height 220 cm and base diame...
Community Answer
A solid iron cone consists of cylinder of height 220 cm and base diame...
Volume of the Iron Cone
To find the mass of the iron cone, we first need to calculate its volume. The solid iron cone is made up of two parts: a cylinder and a smaller cylinder on top of it.
1. Volume of the Larger Cylinder
- Height (H1): 220 cm
- Radius (R1): Diameter/2 = 24 cm / 2 = 12 cm
Using the formula for the volume of a cylinder, V = πR²H:
- V1 = 3.14 × (12)² × 220
- V1 = 3.14 × 144 × 220
- V1 = 3.14 × 31680 = 99379.2 cm³
2. Volume of the Smaller Cylinder
- Height (H2): 60 cm
- Radius (R2): 8 cm
Using the same formula:
- V2 = 3.14 × (8)² × 60
- V2 = 3.14 × 64 × 60
- V2 = 3.14 × 3840 = 12065.6 cm³
Total Volume of the Iron Cone
- Total Volume (V) = V1 + V2
- V = 99379.2 cm³ + 12065.6 cm³ = 111444.8 cm³
Mass Calculation
To find the mass, we multiply the total volume by the density of iron:
- Density of Iron: 8 g/cm³
- Mass (M) = Volume × Density
- M = 111444.8 cm³ × 8 g/cm³ = 891558.4 g
Final Mass in Kilograms
- Mass in kg = 891558.4 g / 1000 = 891.56 kg
Thus, the mass of the solid iron cone is approximately 891.56 kg.
Explore Courses for Class 9 exam

Top Courses for Class 9

A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)?
Question Description
A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)?.
Solutions for A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)? 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 A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)? defined & explained in the simplest way possible. Besides giving the explanation of A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)?, a detailed solution for A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)? has been provided alongside types of A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)? theory, EduRev gives you an ample number of questions to practice A solid iron cone consists of cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole given that 1cm³ of iron is equal to 8g. (use pie =3.14)? tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev