Question 1

A prescription drug company produces a capsule shaped like a cylinder with a hemisphere attached to each base. The cylinder and hemispheres all have a diameter of 8 millimeters, and the cylinder has a height of 15 millimeters. The outside of the capsule is coated with a film to improve the flavor and protect the medicine.What is the approximate area of the capsule that is coated with the film?

Question 2

$\begin{gathered} Dima\text{ter(D) =8mm} \\ \text{Radius (r) = }\frac{\text{8mm}}{2} \\ \text{ r = 4mm} \\ \text{Height(h) = 15mm} \\ \text{ surface area of the cylinder =2}\pi rh \\ \text{ =2}*3.14*4*15 \\ \text{ =}376.8\operatorname{mm} \\ Radius\text{ of hemisphare= 4mm} \\ \text{Area of hemisphere= 2}\pir^2 \\ =2*3.14*4^2 \\ =100.48\operatorname{mm} \\ \text{Area of 2 hemisphare =2}*100.48 \\ =200.96\operatorname{mm} \\ Total\text{ area of the capsule =Area of the cylinder+Area of the 2 hemisphare} \\ \text{ = 376.8+200.96} \\ \text{ =577.76mm}^2 \\ Hencethetotalsurfaceareaofthecapsuleis577.76mm^2 \end{gathered}$

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