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

aaronq · Answer

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so, break it up into 2 parts find the volume of the cylinder:

$V_{cylinder}=\pi*r^2*h$ 

and find the volume of the sphere (2 hemispheres =1 sphere).

$V_{sphere}= \dfrac{4}{3}*\pi*r^3$

Add these up


Note: diameter=0.5 cm, radius =diameter/2  -> radius=0.25 cm