The Price of a 2cm diameter metal tablet is ₹5. So find the price of

1.	The Price of a 2cm diameter metal tablet is ₹5. So find the price of a 6cm diameter tablet of the same metal.
Answer» 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

The Price of a 2cm diameter metal tablet is ₹5. So find the price of a 6cm diameter tablet of the same metal.

Answer»

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

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