Volume of metal tablet whose diameter is 2cm
= \(\frac43\pi r^3\) = \(\frac43\pi(\frac22)^3\) = \(\frac43\pi cm^3\) (\(\because\) r = \(\frac d2\))
Volume of metal tablet whose diameter is 6 cm
= \(\frac43\pi R^3\) = \(\frac43\pi (\frac62)^3\) = \(\frac43\pi\times27cm^3\)
\(\because\) The price of 2cm diameter metal tablet = Rs. 5
\(\therefore\) The price of metal quantity of \(\frac43\pi cm^3\) = Rs. 5
\(\therefore\) The price of metal quantity of \(\frac43\pi\times27 cm^3\) = Rs. (5 x 27) = Rs. 135
