Question

find the capacity in litres of a conical vessel with radius 7cm and slant height 25cm.

Answer 1

l=√h sq. +r square.
l=√49+hsq.
h=24
volume of come =(1/3)π(49)(24)

Answer 2

$\huge\mathtt\pink{Answer}$

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

$\bf \: (25)^{2} = h^{2} + (7) ^{2}$

$\bf \: 625 \: = h ^{2} + 49$

$\bf \: 625 \: - 49 \: = \: h^{2}$

$\bf \: 576 \: = h ^{2}$

$\bf \: \sqrt{576} = h \:$

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

$\bf \: = \: \frac{1}{\cancel3} \times \frac{22}{\cancel7} \times\cancel 7 \times 7 \times \cancel2\cancel4$

$\bf \: = 1232cm^{3}$

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

$\bf \: = \frac{1232}{10000} L$

$\bf \: 1.232 L$