Question

(iii)How much is the volume of 2 small hemispheres each of radius 2.1m?​

Answer 1

Answer:

4.312$m^{3}$

Step-by-step explanation:

Volume of hemisphere= $\frac{1}{2} *\frac{4}{3} \pi r^{3}$

                                      =$(\frac{2}{3}*\frac{22}{7}*2.1^{3})$$m^{3}$

                                      =(2*22*0.1*0.7*0.7)$m^{3}$

                                      =2.156$m^{3}$

Volume of 2 hemispheres= 2* 2.156$m^{3}$

                                           = 4.312$m^{3}$

Answer 2

Given

• There are two small hemispheres.
• Radius of each hemisphere is 2.1m.

⠀

To find

• The volume of two hemisphere.

⠀

Solution

• We will calculate the volume of one hemisphere, then multiply it with 2.

⠀

⠀❍ Let's find the volume of hemisphere.

⠀

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Volume_{(Hemisphere)} = \dfrac{2}{3} \pi r^3{\bigstar}}}}$

⠀

⠀❍ Putting the values.

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Volume = \dfrac{2}{3} \times \dfrac{22}{\cancel{7}} \times \cancel{2.1} \times 2.1 \times 2.1 }$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Volume = \dfrac{44}{3} \times 0.3 \times 2.1 \times 2.1 }$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Volume = \dfrac{44}{3} \times 1.323}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Volume = \dfrac{58.212}{3}}$

⠀

$\bf:\implies\: \: \: \: \: \: \: \: {\boxed{\red{Volume = 19.404m^3}}}$

⠀

⠀❍ Volume of 2 hemisphere.

⠀

$\tt\longmapsto{Volume = 2 \times 19.404}$

$\bf\longmapsto{Volume = 38.808m^3}$

⠀

⠀❍ Hence,

• Volume of two hemisphere is 38.808m³.

━━━━━━━━━━━━━━━━━━━━━━