Question

Find the volume of a right circular cylinder of height 21cm and base radius 5 cm (Use π u 22 by 7 )

Answer 1

Answer:

Given :-

• A right circular cylinder whose height is 21 cm and base radius is 5 cm. (use π = 22/7).

To Find :-

• What is the volume of a right circular cylinder.

Formula Used :-

$\clubsuit$ Volume Of Cylinder Formula :

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

where,

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

Solution :-

Given :

• Radius = 5 cm
• Height = 21 cm

According to the question by using the formula we get,

$\implies \bf Volume_{(Cylinder)} =\: {\pi}r^2h$

$\implies \sf Volume_{(Cylinder)} =\: \dfrac{22}{7} \times (5)^2 \times 21$

$\implies \sf Volume_{(Cylinder)} =\: \dfrac{22}{7} \times (5 \times 5) \times 21$

$\implies \sf Volume_{(Cylinder)} =\: \dfrac{22}{7} \times 25 \times 21$

$\implies \sf Volume_{(Cylinder)} =\: \dfrac{22}{\cancel{7}} \times {\cancel{525}}$

$\implies \sf Volume_{(Cylinder)} =\: 22 \times 75$

$\implies \sf\bold{\red{Volume_{(Cylinder)} =\: 1650\: cm^3}}$

${\small{\bold{\underline{\therefore\: The\: volume\: of\: a\: right\: circular\: cylinder\: is\: 1650\: cm^3\: .}}}}$