Question

A capsule of medicine is in the shape of two hemispheres and on cylinder as shown in the figure. Total length of capsule is 9 mm diameter of cylinder portion is 6 mm. Then the medicine (in mm³) needed to fill this capsule is​

Answer 1

Answer:

- if; cosθ+cotθ=2 ; where the θ of cos is equal to the θ of tan, and the θ of cot is eqaul to the θ of sec

Then prove that :- tan(sqaure)θ + sec(sqaure)θ = 2

Answer 2

Answer:

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