Question

The area of the base of the cylinder is 44sq.cm and volume are 440cubic cm.

Find the height of the cylinder
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Answer 1

Given :

• Area of Base of cylinder is 44 cm²
• Volume of Cylinder is 440 cm³

To Find :

• Height of the Cylinder

Solution :

We are given base area of cylinder is 44 cm², we can find out value of radius (r) by using formula of the area of circle.

⇒Area of Base = Area of circle = 44

⇒44 = πr²

⇒r² = 44/3.14

⇒r² = 14.01

⇒r = √14.01

⇒r = 3.74

$\therefore$ Radius of Cylinder is 3.74 cm

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Now, use formula for Volume of Cylinder :

⇒Volume of cylinder = πr²h

⇒440 = 3.14 × (3.14)² × h

⇒440 = 3.14 × 14.01 × h

⇒440 = 43.99 × h

We can put 43.99 as 44

⇒440 = 44h

⇒h = 440/44

⇒h = 10

$\therefore$ Height of cylinder is 10 cm

Answer 2

Solution :

Given :

▪Area of Base of cylinder = 44 cm²

▪Volume of Cylinder = 440 cm³

To Find :

▪Height of the Cylinder.

We are solving now .

We have given the area of Base of cylinder is 44 cm², we can find out value of radius (r) by using formula of the area of circle.

$\bf {\therefore{Area \:of \:Base = Area\: of \:circle = 44\:cm^2}}$

$:\implies{\sf{44 = \pi r^2}}\\\\:\implies{\sf{r^2= \dfrac {44}{3.14}}}\\\\:\implies{\sf{r^2 = 14.01}}\\\\:\implies{\sf{r = \sqrt {14.01}}}\\\\:\implies{\sf{r = 3.74}}$

$\bf {\therefore{Radius\: of \:Cylinder \:is \:3.74\: cm.}}$

$\rule {207}{1}$

Now, use formula for Volume of Cylinder :

$\because{\tt{Volume\: of \:cylinder = \pi r^2h}}$

$:\implies{\sf{440 = 3.14 \times (3.14)^2 \times h}}\\\\:\implies{\sf{440 = 3.14 \times 14.01 \times h}}\\\\:\implies{\sf{440 = 43.99 \times h}}$

We can put 43.99 as 44(Aprrox).

$:\implies{\sf{440 = 44h}}\\\\:\implies{\sf{h =\dfrac {440}{44}}}\\\\:\implies{\sf{h = 10}}$

$\bf {\therefore {Height \:of\: cylinder \:is\: 10 cm.}}$