Math, asked by sarangi89, 6 months ago

if volume of a hemisphere is 18 pie cubic cm then it's radius is

please answer​

Answers

Answered by shagunsingh10
4

Mark it brainliest please

Answer:

volume of hemisphere=2/3πr^3

2/3πr^3=18πcm^3(π from both sides will be cancelled)

r^3=(18x3)/2

r^3=9x3

Radius =3cm

by shagun

Answered by Anonymous
12

Given :-

  • Volume of a hemisphere = 18πcm³

To Find :-

  • it's Radius.

Solution :-

As we know that,

 \boxed{  \sf \: Volume  \: of  \: hemisphere  =  \frac{2}{3} \pi \: r {}^{3} }

[ Putting values ]

 \hookrightarrow \sf 18π =  \frac{2}{3} \pi \: r {}^{3}

 \hookrightarrow \sf \: r {}^{3}  =  \frac{18 \pi \:  \times 3}{2  \pi}

 \hookrightarrow \sf \: r {}^{3}  = 9 \times 3

 \hookrightarrow \sf \: r {}^{3}  = 27

 \hookrightarrow \sf \: r {}^{3}  = 3 {}^{3}

 \hookrightarrow \sf  \red{ r = 3cm}

Hence,

  • It's Radius is 3cm.
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