Question

If a cylindrical tank of height 49 cm is having radius 4 cm, find volume

options:
1) 616 cu .cm
2) 2446 cu .cm
3)2464 cu .cm
4)2644 cu .cm
please choose correct answer if you answer correctly I mark you brainleist​

Answer 1

Answer:

Given :-

• If a cylindrical tank of height is 49 cm is having a radius of 4 cm.

To Find :-

• What is the volume of a cylindrical tank.

Formula Used :-

$\clubsuit$ Volume Of Cylinder Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{Volume_{(Cylinder)} =\: {\pi}r^2h}}}\: \: \: \bigstar$

where,

• π = Pie or 22/7
• r = Radius
• h = Height

Solution :-

Given :

$\mapsto \bf Height_{[Cylindrical\: Tank]} =\: 49\: cm$

$\mapsto \bf Radius_{[Cylindrical\: Tank]} =\: 4\: cm$

According to the question by using the formula we get :

$\implies \sf\bold{\blue{Volume_{(Cylindrical\: Tank)} =\: {\pi}r^2h}}$

$\implies \sf Volume_{(Cylindrical\: Tank)} =\: \dfrac{22}{7} \times (4)^2 \times 49$

$\implies \sf Volume_{(Cylindrical\: Tank)} =\: \dfrac{22}{7} \times (4 \times 4) \times 49$

$\implies \sf Volume_{(Cylindrical\: Tank)} =\: \dfrac{22}{7} \times 16 \times 49$

$\implies \sf Volume_{(Cylindrical\: Tank)} =\: \dfrac{22}{7} \times 784$

$\implies \sf Volume_{(Cylindrical\: Tank)} =\: \dfrac{22 \times 784}{7}$

$\implies \sf Volume_{(Cylindrical\: Tank)} =\: \dfrac{\cancel{17248}}{\cancel{7}}$

$\implies \sf Volume_{(Cylindrical\: Tank)} =\: \dfrac{2464}{1}$

$\implies \sf\bold{\red{Volume_{(Cylindrical\: Tank)} =\: 2464\: cm^3}}$

$\small \sf\bold{\purple{\underline{\therefore\: The\: volume\: of\: a\: cylindrical\: tank\: is\: 2464\: cm^3\: .}}}$

Hence, the correct options is option no (3) 2464 cm³ .

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