Question

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

Answer 1

Area of base of cone = area of circle

$= \pi {r}^{2}$
area = 25 * 4

$\pi {r}^{2} = 100$
Volume of cone
$= \frac{1}{3} \pi {r}^{2}h$
$= \frac{1}{3} \times 100 \times 18$
$= 600 {m}^{3}$

Answer 2

$in \: order \: to \: find \: the \: volume \: of \: a \: tent \: which \: is \: conical \: in \: shape \: you \: need \: to \: know \: the \: area \: of \: base \: and \: height \\ luckily \: you \: have \: been \: given \: height \: frankly. \: but \: you \: have \: not \: been \: given \: the \: area \: of \: base \\ so \: let \: us \: find \: the \: area \: of \: base \: which \: is \: given \: by \: \pi {r}^{2} \\ now \: you \: know \: that \: the \: ground \: where \: people \: sit \: inside \: a \: conical \: tent \: is \: circular \: in \: shape \\ and \: it \: has \: been \: said \: in \: the \: question \: that \: one \: person \: needs \: 4 {m}^{2} space \: so \: 25 \: persons \: will \: take \: 25 \times 4 = 100 {m}^{2} of \: space \: which \: means \: the \: area \: of \: the \: base \: is \: that \: much \\ so \: now \: you \: know \: both \: area \: of \: the \: base \: and \: height \: let \: us \: find \: the \: volume. \\ volume \: = \frac{1}{3} \times area \: of \: base \times height = \frac{1}{3} \times (\pi {r}^{2}) \times height \\ area \: of \: base \: (\pi {r}^{2} ) = 100 {m}^{2} \\ height \: = 18 \\ volume \: = \frac{1}{3} \times 100 \times 18 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 600 {m}^{3} \: \: answer$