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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)?
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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.
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.
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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)?
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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 2024 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 2024 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)?.
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 2024 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 2024 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)?.
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