Question

Math Question
Find the height of cylinder whose Diameter is 14 cm and Volume is 308 cm².

Answer 1

Answer:

Given :-

• Diameter of cylinder = 14 cm
• Volume = 308 cm

To Find :-

Height

Solution :-

Firstly let's find Radius

${\boxed{\underline {\mathfrak {\green{Radius = \frac{Diameter}{2} }}}}}$

$\sf \quad \quad \qquad \: Radius = \dfrac{14}{2}$

$\quad \quad \qquad \mathfrak \red{ Radius = 7 \: cm}$

Now,

Let's find Volume

${\boxed{\underline {\mathfrak {\blue{ Volume = \pi {r}^{2} h}}}}}$

$\sf : \implies \: Volume = \dfrac{22}{7} \times {(7)}^{2} \times h$

$\sf : \implies \: 308 \: = \dfrac{22}{7} \times 49 \times h$

$\sf \ratio \implies \: 308 = 22 \times 7 \times h$

$\sf \ratio \implies \: 308 = 154h$

$\sf \ratio \implies \: h \: = \cancel\dfrac{308}{154}$

$\mathfrak \pink{Height = 2 \: cm}$

Hence :-

$\mathfrak {\underline{Height \: is \: 2 \: cm}}$

Answer 2

Answer :

• Height of Cylinder = 2 cm.

Explanation :

Given :-

• Diameter of cylinder = 14 cm.
• Volume = 308 sq cm.

To Find :-

• Height of the cuboid.

Solution :-

Let the height be h.

We know that,

Volume of Cylinder = πr²h.

Let's Calculate Radius.

Radius = Diameter/2.

➙ Radius = 14/2.

➙ Radius = 7 cm.

So, Now, Let's Calculate Height.

Use the formula of Volume of Cylinder.

Here, I am using π as 22/7.

➙ 22/7 × 7 × 7 × h = 308 sq.cm.

➙ 22 × 7 × h = 308 sq.cm.

➙ 154h = 308 sq.cm.

➙ h = 308 ÷ 154.

➙ h = 2 cm.

Therefore, Height of Cylinder = 2 cm.