Question

Find the capacity in litres of a conical vessel with
height 12 cm and slant height 13 cm

Answer 1

here's the solution..

Answer 2

$\huge\mathtt\pink{Answer}$

$\bf \: L = \: \sqrt{h^{2} \: + r ^{2} }$

$\bf \: = (13) ^{2} = \sqrt{(12 ^{2} \: ) + \: r^{2} }$

$\bf \: = 169 \: = 144 \: + r ^{2}$

$\bf \: = 169 \: - 144 \: = r ^{2}$

$\bf \: 25 \: = {r}^{2}$

$\bf \: \sqrt{25} = r \:$

$\bf \: 5 \: = \: r \:$

$\: \bf \: Volume = \frac{1}{3} \pi \: r ^{2} h$

$\bf \: = \frac{1}{\cancel3} \times \frac{22}{7} \times 5 \times 5 \ \times \cancel2\cancel4$

$\bf \: = \frac{2200}{7} cm ^{3}$

$\bf \: = 1 {cm}^{3} = \frac{1}{1000} L$

$\bf \: = \frac{22 \cancel0 \cancel0}{2 \times 10 \cancel0 \cancel0} L$

$\bf \: \: = \: \frac{11}{35} \: L$