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A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 1.4cm and the diameter of spherical part is equal to the cylinder part is 0.5 cm. Find its surface area ?
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A medicine capsule is in the shape of a cylinder with two hemispheres ...
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A medicine capsule is in the shape of a cylinder with two hemispheres ...
Shape Analysis:
The medicine capsule consists of a cylindrical part and two hemispherical parts at each end. To find the surface area of the capsule, we need to calculate the surface area of each component and then add them together.
Surface Area of Cylinder:
The surface area of a cylinder is given by the formula:
SA_cylinder = 2πrh + πr^2, where r is the radius and h is the height.
In this case, the diameter of the cylindrical part is given as 0.5 cm. Since the radius is half the diameter, the radius of the cylinder is 0.25 cm.
The length of the entire capsule is given as 1.4 cm. Since the cylindrical part makes up the remaining length after subtracting the hemispheres, the height of the cylinder is 1.4 cm - 2 * radius of the hemispheres.
Surface Area of Hemispheres:
The surface area of a hemisphere is given by the formula:
SA_hemisphere = 2πr^2, where r is the radius.
In this case, the radius of the hemispheres is also 0.25 cm.
Calculating Surface Area:
1. Calculate the surface area of the cylinder using the formula SA_cylinder = 2πrh + πr^2, where r = 0.25 cm and h = 1.4 cm - 2 * radius of the hemispheres.
2. Calculate the surface area of the hemispheres using the formula SA_hemisphere = 2πr^2, where r = 0.25 cm.
3. Add the surface areas of the cylinder and the hemispheres to get the total surface area of the capsule.
Final Answer:
The surface area of the medicine capsule is the sum of the surface area of the cylinder and the surface area of the two hemispheres. Calculate the surface areas of each component and add them together to get the final answer.
The medicine capsule consists of a cylindrical part and two hemispherical parts at each end. To find the surface area of the capsule, we need to calculate the surface area of each component and then add them together.
Surface Area of Cylinder:
The surface area of a cylinder is given by the formula:
SA_cylinder = 2πrh + πr^2, where r is the radius and h is the height.
In this case, the diameter of the cylindrical part is given as 0.5 cm. Since the radius is half the diameter, the radius of the cylinder is 0.25 cm.
The length of the entire capsule is given as 1.4 cm. Since the cylindrical part makes up the remaining length after subtracting the hemispheres, the height of the cylinder is 1.4 cm - 2 * radius of the hemispheres.
Surface Area of Hemispheres:
The surface area of a hemisphere is given by the formula:
SA_hemisphere = 2πr^2, where r is the radius.
In this case, the radius of the hemispheres is also 0.25 cm.
Calculating Surface Area:
1. Calculate the surface area of the cylinder using the formula SA_cylinder = 2πrh + πr^2, where r = 0.25 cm and h = 1.4 cm - 2 * radius of the hemispheres.
2. Calculate the surface area of the hemispheres using the formula SA_hemisphere = 2πr^2, where r = 0.25 cm.
3. Add the surface areas of the cylinder and the hemispheres to get the total surface area of the capsule.
Final Answer:
The surface area of the medicine capsule is the sum of the surface area of the cylinder and the surface area of the two hemispheres. Calculate the surface areas of each component and add them together to get the final answer.
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A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 1.4cm and the diameter of spherical part is equal to the cylinder part is 0.5 cm. Find its surface area ?
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A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 1.4cm and the diameter of spherical part is equal to the cylinder part is 0.5 cm. Find its surface area ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 1.4cm and the diameter of spherical part is equal to the cylinder part is 0.5 cm. Find its surface area ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 1.4cm and the diameter of spherical part is equal to the cylinder part is 0.5 cm. Find its surface area ?.
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 1.4cm and the diameter of spherical part is equal to the cylinder part is 0.5 cm. Find its surface area ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 1.4cm and the diameter of spherical part is equal to the cylinder part is 0.5 cm. Find its surface area ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire capsule is 1.4cm and the diameter of spherical part is equal to the cylinder part is 0.5 cm. Find its surface area ?.
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