Question

There are 25 persons in a tent which is conical in shape. Every person needs an area of 4 sq.m. of the ground inside the tent. If height of the tent is 18m, find the volume of the tent.

Answer 1

Given that the total number of persons in a tent = 25.

Given that every person needs an area of 4sq.m.

$= \ \textgreater \ \pi r^2 = 4 * 25$

$= \ \textgreater \ \pi r^2 = 100$

Given the height of the tent = 18m.

The volume of the tent:

$= \ \textgreater \ \frac{1}{3} \pi r^2 h$

$= \ \textgreater \ \frac{1}{3} * 100 * 18$

$= \ \textgreater \ 6 * 100$

$= \ \textgreater \ 600m^3$


Therefore, the volume of the tent = 600m^3.


Hope it helps!

Answer 2

Answer:

Given that the total number of persons in a tent = 25.

Given that every person needs an area of 4sq.m.

= \ \textgreater \ \pi r^2 = 4 * 25= \textgreater πr

2

=4∗25

= \ \textgreater \ \pi r^2 = 100= \textgreater πr

2

=100

Given the height of the tent = 18m.

The volume of the tent:

= \ \textgreater \ \frac{1}{3} \pi r^2 h= \textgreater

3

1

πr

2

h

= \ \textgreater \ \frac{1}{3} * 100 * 18= \textgreater

3

1

∗100∗18

= \ \textgreater \ 600m^3= \textgreater 600m

3

Therefore, the volume of the tent = 600m^3.

Hope it helps!