Question

total cost of making a spherical ball is ₹33957 at the rate of ₹7 per metre cube What will be the radius of this ball

Answer 1

$let \: r \: be \: the \: radius \: of \: the \: sphere \\ \\ so \: volume \: of \: the \: spherical \: ball \\ \\ = \frac{4}{3} \pi \times r {}^{3} \\ \\ so \: according \: to \: question \\ \\ \frac{4}{3} \pi \times r {}^{3} \times 7 = 33957 \\ \\ = > \frac{4}{3} \times \frac{22}{7} \times 7 \times {r}^{3} = 33957 \\ \\ = > \frac{88}{3} \times r {}^{3} = 33957 \\ \\ = > {r}^{3} = \frac{33957 \times 3}{88} \\ \\ = > {r}^{3} = \frac{101871}{88} \\ \\ = > r = \sqrt[3]{ \frac{101871}{88} } \\ \\ = > r = \frac{21 \times \sqrt[3]{11} }{2 \times \sqrt[3]{11} } \\ \\ = > r = \frac{21}{2} = 10.5 \:$
hope it helps