Question

Find the volume of a right circular cylinder when the circumference of its circular base is 44cm and it's height is 10 cm.

Answer 1

Answer:

• Volume of cylinder is 1540 cm³.

Step-by-step explanation:

Given :

• Circumference of circular base of right circular cylinder is 44 cm.
• Height of circular cylinder is 10 cm.

To find :

• Volume of right circular cylinder.

Solution :

We know,

• Base of cylinder is of circular shape.

Circumference of circle = 2πr

$\longrightarrow$ 44 = 2πr

$\longrightarrow$ 44 = 2 × 22/7 × r

$\longrightarrow$ 44 = 44/7 × r

$\longrightarrow$ 44 × 7/44 = r

$\longrightarrow$ r = 7

Radius of cylinder is 7 cm.

Now,

Volume of cylinder = πr²h

$\longrightarrow$ Volume = 22/7 × (7)² × 10

$\longrightarrow$ Volume = 22/7 × 7 × 7 × 10

$\longrightarrow$ Volume = 22 × 7 × 10

$\longrightarrow$ Volume = 1540

∴ Volume of cylinder is 1540 cm³.

Answer 2

★ Understanding the question :

» Here we have a right circular cylinder with height 10 cm and circumfernce of it's base is 44 cm.We had to find out it's volume!

» Firstly we will find it's radius by using formula : circumference of base ; which is in circular shape , then we will find it's volume with formula of volume of cylinder.

Let's do it !!

ㅤㅤㅤㅤㅤㅤ━━━━━━━━━━

✎ Using formula of circumference of ㅤㅤcircle :

$\qquad:\implies\:\sf Circumference_{(Circle)} = 2\pi r$

★ Values that we have :

• Circumference of circle = 44 cm
• π = 22/7

✎ Putting all values in the formula :

$\qquad:\implies\:\sf 44 = 2\:\times\:\dfrac{22}{7}\:\times\: r$

$\qquad:\implies\:\sf 44 = \dfrac{44}{7}\:\times\: r$

$\qquad:\implies\:\sf 44\:\times\:\dfrac{7}{44} = \: r$

$\qquad:\implies\:\sf \cancel{44}\:\times\:\dfrac{7}{\cancel{44}} = \: r$

$\qquad:\implies\:\bold {radius = \red{7\:cm}}$

✎ Using formula of volume of cylinder :

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

★ Values that we have :

• Radius = 7 cm
• Height = 10 cm
• π = 22/7

✎ Putting all values in the formula :

$\:\:\::\mapsto\:\sf Volume_{(Cylinder)} = \dfrac{22}{7}\:\times\:7\:\times\:7\:\times\:10$

$\:\:\::\mapsto\:\sf Volume_{(Cylinder)} = \dfrac{22}{\cancel{7}}\:\times\:\cancel{7}\:\times\:7\:\times\:10$

$\:\:\::\mapsto\:\sf Volume_{(Cylinder)} = 22\:\times\:7\:\times\:10$

$\:\:\::\mapsto\:\bold {Volume_{(Cylinder)} = \red{1,540\:cm^3}}$

This is the required answer.

$\large\underline{\boxed{\tt{Volume\:of\:cylinder\:=\:\rm\purple{1,540\:cm^3}}}}$