Question

Find the volume and the total surface area of a hemisphere of radius 3.5 cm. (π = 22/7)

Answer 1

Vol. of Hemisphere = 2/3πr³
» 2/3*22/7*3.5*3.5*3.5
» 44/21*42.87
» 2.09*42.87
» 89.5 cm³

Answer 2

AnswEr:

We have,

r = radius of the hemisphere = 3.5 cm

$\therefore$ Volume of the hemisphere

◕ $\sf\dfrac{2}{3}\pi\:r^3$

◕ $\sf\dfrac{2}{3}\times$$\sf\dfrac{22}{7}\times\:3.5\times\:3.5\times\:3.5\:cm^3$

◕$\sf \: \dfrac{2}{3} \times \dfrac{22}{7} \times \dfrac{7}{2} \times \dfrac{7}{2} \times \dfrac{7}{2} \: {cm}^{3}$

◕ $\sf\dfrac{11\times\:49}{3\times\:2}cm^3=89.83\:cm^3$

__________________________

Now,

Total surface area of the hemisphere

$\sf \: = 3\pi {r}^{2} \\ \\ = \sf \: 3 \times \frac{22}{7} \times 3.54 \times 3.5 \: {cm}^{2} \\ \\ = \sf \: 3 \times \frac{22}{7} \times \frac{7}{2} \times \frac{7}{ 2} \: {cm}^{2} \\ \\ = \sf \: \frac{231}{2} \: {cm}^{2} \\ \\ \sf \: = 115.5 \: {cm}^{2}$

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