Question

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

Answer 1

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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Answer 2

$\huge\mathfrak\red{Question:}$

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 14 mm and the diameter of the capsule is 5 mm. Find its surface area. $(Use \: \pi = \frac{22}{7} )$

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Given,

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.