1.

The value of a coin varies directly to the square of its radius, when its thickness is constant. The radius of a coin is 1.5 cm and its value is ₹ 2. What will be the radius of a coin if its value is ₹ 5?

Answer»

Solution :`V propto r^2 IMPLIES Kr^2`
`2=Kxx(15)^2impliesK=2/225implies K=8/9`
Again `5=8/9xxr^2implies r^2=(5xx9)/8`
`THEREFORE r=3/2xxsqrt5/2=15xxsqrt25=15xx16` `rapprox2.4cm`
Hence, REQUIRED radius=2.4 cm


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