Question

a medicin capsule in the shape of cylinder with two hemispheres stuck to each of its ends.the length of the capsule is 14mm.and the width is 5 find its surface area?​

Answer 1

Answer:

Given:

Length of Capsule (l) = 14 mm

Diameter of Capsule = Diameter of Cylinder =5 mm

Radius =

2

Diameter

Therefore, Radius of each Hemisphere = Radius of Cylinder = r =

2

5

= 2.5 mm

Length of Cylinder = AB = Total length of Capsule - Radius of left Hemisphere - Radius of Right Hemisphere

=14−2.5−2.5=9 mm

Surface Area of Capsule = Curved Surface Area of Cylinder + Surface Area of Left Hemisphere + Surface Area of Right Hemisphere

=2πrl+2πr

2

+2πr

2

=2πrl+4πr

2

=2×

7

22

×2.5×9+4×

7

22

×2.5

2

=

7

22

[45+25]=

7

22

×70=220 mm

2

solution