Math, asked by vasanthakumarikumbai, 4 months ago

volume of hemisphere is 18pi cm cube find its radius​

Answers

Answered by ISAlishaTripathy
1

Answer:

It's radius is 3 cm.

Step-by-step explanation:

let \: radius \: of \: the \: hemisphere \:  = r cm\\ volume \: of \: hemisphere \:  =  \frac{2}{3} \pi {r}^{3}  \\  =  > 18\pi \:  {cm}^{3}  =  \frac{2}{3}  \times  \pi\times  {r}^{3 } \\   =  >  \frac{2}{3}  \times  {r}^{3}  = 18 \\  =  >  {r}^{3}  = 18 \times  \frac{3}{2}  \\ =  >  {r}^{3}  = 27 \\  =  > r =  \sqrt[3]{27}  \\  =  > r = 3 \: cm

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