Question

The circumference of the base of a cylindrical vessel is 176 cm and its height is 30cm. How many
litres of water it can hold?

Answer 1

Correct Question :-

The circumference of the base of a cylindrical vessel is 176 cm and its height is 30cm. How many litres of water it can hold?

Answer :-

GIVEN :-

• Circumference = 176 cm

• Height = 30 cm

$\Large\pink{\boxed{ \bf{\sf Circumference \: of \: Circle = 2 \pi \: r}}}</p><p>$

We know know ,

π = 22/7

$\mathbf {Substituting \: the \: Values}$

$\: \rightarrow \: {\bf{\sf \:2 \times \frac{22}{7} \: r = 176}}$

$\: \rightarrow{ \bf{\sf \:r = 176 \times \frac{7}{44} }}$

$\red {\boxed { \bf{\sf \:r = 28 \: cm}}}$

Now, We have to find Volume of Cylindrer

${\boxed{ \bf{\sf \: Volume \: of \: Cylinder = π \: r² h}}}$

$\rightarrow{ \bf{\sf \frac{22}{7} \times {28}^{2} \times 30}}$

$\rightarrow \: { \bf{\sf \: Volume = {73920 \: cm }^ {3} }}$

$\rightarrow \: { \bf{\sf \:1 \: litre = {1000 \: cm}^{3}}}$

$∴ { \bf{\sf \: Volume \: in \: litres = \frac{73920}{1000}}}$

$\purple{\boxed{ \bf{\sf 73.92 \: Litres}}}$

∴ Cylindrical Vessel can hold about 73.92 litres of water

Answer 2

Step-by-step explanation:

$\huge\sf\fbox\red{ \: \: Question \: \: \: }::-$

The circumference of the base of a cylindrical vessel is 176 cm and its height is 30cm. How many litres of water it can hold?

$\huge\sf\fbox\blue{ \: \: \: Given\: \: \: }::-$

Base of cylinder = 176cm

Base of cylinder = 176cmHeight of cylinder = 30cm

$\huge\sf\underline{To \: Find :}$

Radius =?

Volume of cylinder?

$\huge\sf\underline{Formula \: to \: Find :}$

$\red \star\underline{ \boxed { \rm{volume \: of \: cylinder = \pi r^2h}}}$

$\huge\sf\fbox\purple{\: \: Required Solution \: \: \: }::-$

Substituting the Values :

$\sf :\implies \: 2 × \dfrac{22}{7}r = 176 \\ \sf :\implies \frac{44}{7}r = 176 \: \: \: \: \: \: \: \: \\ \sf :\implies \: r = \cancel \red{ 176} \times \frac{7}{ \cancel \red{44}} \\ \sf :\implies \: r = \fbox\green{ 28cm}\: \: \: \: \: \: \: \:$

Thus, we have to find the volume of cylinder

$\large\underline \red{ \boxed { \rm \pink{\pi \: r^2h}}}$

$\sf :\implies \dfrac{22}{7} \times {28}^{2} \times 30 \\ \sf :\implies \purple{7392 {0cm}^{3}} \: \: \: \: \: \: \: \: \: \:$

$\sf\underline \bold{We \: Know :}$

$\sf1 litre = 1000cm^3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf \: Volume \: of \: cylinder \: is \: liters \: = \frac{\cancel \red{73920}}{ \cancel \red{1000} } \\ \sf :\implies \: \fbox\green{73.92liters}$

$\sf\therefore \: \green{ Cylinder \: Vessel \: can \: hold} \: \purple{73.92 \: litres} \green{ \: of water.}$

.

Hope it helpful.✌️

@Somya2563