The rate at which a tablet of vitamin C begins to dissolve depends on the surface area of the tablet. One brand of tablet is in the shape of a right circular cylinder with hemispheres attached to each end. One brand of tablet has a total length of 2 cm and the hemispheres have a diameter of .5cm. Find the volume of this tablet

Question

anonymous · Answer

The total volume would be the sum of the volumes of the cylinder and two hemispheres (i.e. one sphere):
$$V=\pi r^2h+\frac{4}{3}\pi r^3$$
The surface area would be the surface area of both hemispheres (again, one whole sphere) and the lateral area of the cylinder:
$$A=4\pi r^2+2\pi rh$$

anonymous · Answer

You're given $A=2$ and $d=2r=\dfrac{1}{2}~~\Rightarrow ~~r=\dfrac{1}{4}$. Plug these into the area equation, solve for $h$, then use all the relevant info to solve for $V$.

anonymous · Answer

@SithsAndGiggles sorry, i meant the total length is 2, not area.