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Find the diameter of the sphere whose volume is 38167\frac{6}{7}76​ m³.​
Question

Find the diameter of the sphere whose volume is 38167\frac{6}{7} m³.​

A.

8m

B.

7m

C.

9m

D.

18m

Correct option is C

Given:
Volume of the sphere = 38167\frac{6}{7}​ m³ =26737\frac{2673}{7} m³  
Formula Used:  
Volume of the sphere = 43πr3\frac{4}{3}{\pi}r^3  
Solution: 
43πr3\frac{4}{3}{\pi}r^3 = 26737\frac{2673}{7}​ m³
r³ = 2673×7×37×22×4\frac{2673×7×3 }{7×22×4}
(d2)3=91.125\left( \frac{d}{2} \right)^3 = 91.125

d3 = 729 m
d = 9 m

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