Question

a digital video disc (DVD) stores data on a circular surface. The standard size for a DVD is a circle with a radius of 2.32 in. A circle of a radius 0.87 inches in the center of the disc does not contain data. If a standard DVD stores 31.97 Gbits of data and A blu-Ray stores 172.4 Gbits of data how much denser is the data storage of a Blu-Ray disc (in Gbits/cubic in)? run the nearest tenth

Answer 1

SOLUTION

$\begin{gathered} S_{DVD}=\pi\times2.32^2-\pi\times0.87^2=14.53143 \\ S_{Blu-Ray}=\pi\times2.24^2-\pi\times0.79^2=13.80258 \end{gathered}$

Therefore,

$denser=\frac{31.97}{14.53143}+\frac{172.4}{13.80258}=14.69047\approx14.7$

Hence, the answer is 14.7.