Math, asked by alpananayak3655, 9 months ago

Volume of a hemisphere is 1800 pie cubic cm. find it radius

Answers

Answered by Nikhil0204
3

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Volume of hemisphere =

 \frac{2}{3} \pi {(r)}^{3}

 =  > 1800\pi =  \frac{2}{3} \pi {(r)}^{3}  \\  =  > 1800 =  \frac{2}{3}  {(r)}^{3}  \\  =  > 1800 \times  \frac{3}{2}  =  {r}^{3}  \\ 2700 =  {r}^{3}  \\  =  > r =   ± \sqrt[3]{2700}  \\  =  > r =  ±30 \\  =  > r = 30 \: cm

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Answered by Anonymous
36

Given:

  • The volume of the Hemisphere = 1800π

Need To Find :

  • The Radius of the Hemisphere ?

Solution:

As we know that,

volume of hemisphere = 2/3πr³

Putting the values,

➜ 1800π = 2/3πr³

➜ r³ = 1800π × 3/2π

➜ r³ = 900 × 3

➜ r³ = 2700

r = 30 cm

Hence,

The radius of the Hemisphere is 30 cm.

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