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A rocket is in the form of a circular cylinders closed at the lower end of cone of same radius is attach to a top .the radius of cone is 2.5 and height 21 m and slant heights of cone 8m . Calculate total surface area of rocket?
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A rocket is in the form of a circular cylinders closed at the lower en...
Rocket Surface Area Calculation
To calculate the total surface area of the rocket, we need to find the surface area of the cylindrical part and the conical part separately, and then add them together.
Cylindrical Part:
The cylindrical part of the rocket is closed at the lower end, so we only need to consider the curved surface area. The formula for the curved surface area of a cylinder is given by:
Curved Surface Area of Cylinder = 2πrh
Where:
r = radius of the cylinder
h = height of the cylinder
In this case, the radius of the cylinder is not given directly. However, since the cylinder is attached to a cone of the same radius, we can assume that the radius of the cylinder is also 2.5 m.
Thus, the curved surface area of the cylindrical part is:
Curved Surface Area of Cylinder = 2π(2.5)(21)
Conical Part:
The conical part of the rocket is attached to the top of the cylindrical part. The formula for the surface area of a cone is given by:
Surface Area of Cone = πr(r + l)
Where:
r = radius of the cone
l = slant height of the cone
In this case, the radius of the cone is given as 2.5 m and the slant height is given as 8 m.
Thus, the surface area of the conical part is:
Surface Area of Cone = π(2.5)(2.5 + 8)
Total Surface Area:
To find the total surface area of the rocket, we add the surface area of the cylindrical part and the conical part:
Total Surface Area = Curved Surface Area of Cylinder + Surface Area of Cone
Calculate the values and add them to find the total surface area of the rocket.
Summary:
To calculate the total surface area of the rocket, we find the surface area of the cylindrical part and the conical part separately and then add them together. The curved surface area of the cylindrical part is found using the formula 2πrh, where r is the radius of the cylinder and h is the height of the cylinder. The surface area of the conical part is found using the formula πr(r + l), where r is the radius of the cone and l is the slant height of the cone. After calculating the values, we add the surface areas of both parts to find the total surface area of the rocket.
To calculate the total surface area of the rocket, we need to find the surface area of the cylindrical part and the conical part separately, and then add them together.
Cylindrical Part:
The cylindrical part of the rocket is closed at the lower end, so we only need to consider the curved surface area. The formula for the curved surface area of a cylinder is given by:
Curved Surface Area of Cylinder = 2πrh
Where:
r = radius of the cylinder
h = height of the cylinder
In this case, the radius of the cylinder is not given directly. However, since the cylinder is attached to a cone of the same radius, we can assume that the radius of the cylinder is also 2.5 m.
Thus, the curved surface area of the cylindrical part is:
Curved Surface Area of Cylinder = 2π(2.5)(21)
Conical Part:
The conical part of the rocket is attached to the top of the cylindrical part. The formula for the surface area of a cone is given by:
Surface Area of Cone = πr(r + l)
Where:
r = radius of the cone
l = slant height of the cone
In this case, the radius of the cone is given as 2.5 m and the slant height is given as 8 m.
Thus, the surface area of the conical part is:
Surface Area of Cone = π(2.5)(2.5 + 8)
Total Surface Area:
To find the total surface area of the rocket, we add the surface area of the cylindrical part and the conical part:
Total Surface Area = Curved Surface Area of Cylinder + Surface Area of Cone
Calculate the values and add them to find the total surface area of the rocket.
Summary:
To calculate the total surface area of the rocket, we find the surface area of the cylindrical part and the conical part separately and then add them together. The curved surface area of the cylindrical part is found using the formula 2πrh, where r is the radius of the cylinder and h is the height of the cylinder. The surface area of the conical part is found using the formula πr(r + l), where r is the radius of the cone and l is the slant height of the cone. After calculating the values, we add the surface areas of both parts to find the total surface area of the rocket.
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A rocket is in the form of a circular cylinders closed at the lower end of cone of same radius is attach to a top .the radius of cone is 2.5 and height 21 m and slant heights of cone 8m . Calculate total surface area of rocket?
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A rocket is in the form of a circular cylinders closed at the lower end of cone of same radius is attach to a top .the radius of cone is 2.5 and height 21 m and slant heights of cone 8m . Calculate total surface area of rocket? 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 rocket is in the form of a circular cylinders closed at the lower end of cone of same radius is attach to a top .the radius of cone is 2.5 and height 21 m and slant heights of cone 8m . Calculate total surface area of rocket? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket is in the form of a circular cylinders closed at the lower end of cone of same radius is attach to a top .the radius of cone is 2.5 and height 21 m and slant heights of cone 8m . Calculate total surface area of rocket?.
A rocket is in the form of a circular cylinders closed at the lower end of cone of same radius is attach to a top .the radius of cone is 2.5 and height 21 m and slant heights of cone 8m . Calculate total surface area of rocket? 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 rocket is in the form of a circular cylinders closed at the lower end of cone of same radius is attach to a top .the radius of cone is 2.5 and height 21 m and slant heights of cone 8m . Calculate total surface area of rocket? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rocket is in the form of a circular cylinders closed at the lower end of cone of same radius is attach to a top .the radius of cone is 2.5 and height 21 m and slant heights of cone 8m . Calculate total surface area of rocket?.
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