A medicine capsule is in the shape of a cylinder with two hemispheres

1.	A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its end. The length of the entire capsule is 14mm and the diameter of the capsule is 5mm. Find its surface area.
Answer» Answer: Step-by-step explanation: the shape of the capsule = 2 HEMISPHERE + 1 cylinder Length of the capsule = 14 mm Width of the capsule = 5 mm To find, The total surface area of the given capsule. Solution, The base diameter of the HEMISPHERES = 5 mm The radius of the hemispheres = 5/2 = 2.5 mm The height of the hemisphere = 2.5 mm The total height of the hemispheres = 2.5×2 = 5 mm The height of cylinder = 14-5 = 9 mm Surface area of cylinder = 2 × 22/7 × 2.5 × 9 = 141.42 mm² Curved surface area of one hemisphere = 2 × 22/7 × (2.5)² = 2×22/7×6.25 = 39.28 mm² CSA of two hemispheres = 39.28 × 2 = 78.56 mm² Total surface area = 141.42 + 78.56 = 219.98 mm² The approximate surface area of the capsule is 219.98 mm².

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its end. The length of the entire capsule is 14mm and the diameter of the capsule is 5mm. Find its surface area.

Answer»

Answer:

Step-by-step explanation:

the shape of the capsule = 2 HEMISPHERE + 1 cylinder

Length of the capsule = 14 mm

Width of the capsule = 5 mm

To find,

The total surface area of the given capsule.

Solution,

The base diameter of the HEMISPHERES = 5 mm

The radius of the hemispheres = 5/2 = 2.5 mm

The height of the hemisphere = 2.5 mm

The total height of the hemispheres = 2.5×2 = 5 mm

The height of cylinder = 14-5 = 9 mm

Surface area of cylinder = 2 × 22/7 × 2.5 × 9 = 141.42 mm²

Curved surface area of one hemisphere = 2 × 22/7 × (2.5)² = 2×22/7×6.25 = 39.28 mm²

CSA of two hemispheres = 39.28 × 2 = 78.56 mm²

Total surface area = 141.42 + 78.56 = 219.98 mm²

The approximate surface area of the capsule is 219.98 mm².

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