Question

The volume of a hemisphere is 4841/2 cm cube. Find the curved surface area.

Answer 1

HELLO DEAR,

Let the radius of the hemisphere = r

Now, volume of hemisphere =
$\frac{4841}{2} \\ = > \frac{2}{3} \pi {r}^{3} = \frac{4841}{2} \\ = > {r}^{3} = \frac{4841 \times 3 \times 7}{2 \times 22 \times 2} \\ = > {r}= \frac{21}{2} \\ = >$
$NOW , THE \: \: C.S.A = \\ \\ 2\pi {r}^{2} = 2 \times \frac{22}{7} \times { (\frac{21}{2}) }^{2} \\ = > 693c {m}^{2}$
I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Given volume of a hemisphere = 4841/2cm = 2420.5cm.

We know that volume of hemisphere = 2/3pir^3.

2420.5 = 2/3 * 22/7 * r^3

2420.5 = 44r^3/21

50830.5 = 44r^3

r^3 = 1155.2386

r = 10.49278

r = ~10.5cm.


We know that curved surface area of hemisphere = 2pir^2

                                                                                     = 2 * 22/7 * (10.5)^2

                                                                                     = 4851/7

                                                                                     = 693 cm^2.


Hope this helps!