Question

find the volume of the hemisphere is 18 pi cm cube what is the total surface area of the hemisphere

Answer 1

Answer:

Step-by-step explanation:

A.T.Q.

18pi=2/3×pi×r^3

Solving,

27=r^3

or r=3cm

Now, TSA=3×pi×r^2

=27×pi

=84.85(approx.)

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Answer 2

Total surface area of the hemisphere is 84.78 cubic cm

Step-by-step explanation:

Let the radius of hemisphere be r

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

the volume of the hemisphere is 18 pi cm cube

So, $\frac{2}{3} \pi r^3 = 18 \pi$

$\frac{2}{3} r^3 = 18$

$r^3 = 18 \times \frac{3}{2}$

$r= \sqrt[3]{18 \times \frac{3}{2}}$

r=3

Total surface area of the hemisphere = $3 \pi r^2 = 3 \times 3.14 \times 3^2 =84.78 cm^2$

Hence Total surface area of the hemisphere is 84.78 cubic cm

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