MathematicsWhich of the following is the radius of a hemisphere with the volume of 20cm3? (π=3.142)

Which of the following is the radius of a hemisphere with the volume of $20 {cm}^{3}$ ? $(π = 3.142)$

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A
$2.121 cm$
B
$4.121 cm$
C
$5.121 cm$
D
None of these

Solution:

It is given that volume of the hemisphere is

20 {cm}^{3} .

Volume of hemisphere is

V = \frac{2}{3} π r^{3}

\Rightarrow r = {(\frac{3 V}{2 π})}^{\frac{1}{3}}

\Rightarrow r = {(\frac{3 \times 20}{2 π})}^{\frac{1}{3}}

\Rightarrow r = {(\frac{60}{6.28})}^{\frac{1}{3}}

\Rightarrow r = {(9.55)}^{\frac{1}{3}}

\Rightarrow r = 2.121 cm

Hence, the radius is 2.121cm.
Therefore, option 1 is correct.

Which of the following is the radius of a hemisphere with the volume of $20 {cm}^{3}$ ? $(π = 3.142)$

Solution:

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