Question

Find the diameter of the cylinder whose volume is 704cm³ and height is 14cm​

Answer 1

Answer:

Diameter of cylinder is 8cm

Step-by-step explanation:

Question:-

Find the diameter of the cylinder whose volume is 704cm³ and height is 14cm

Given:-

• The volume of cylinder=704cm^3
• The height of cylinder=14cm

To find:-

The diameter of cylinder

Solution:-

According to the question it is given that,

Volume of cylinder=704cm^3

Height of cylinder=14cm

As we know,

Volume of cylinder=

$\pi \: {r}^{2} h$

R=radius (Taking π=22/7)

H=height

On substituting the given values we get,

$704 = \frac{22}{7} \times {r}^{2} \times 14$

It can be written as

$704 = \frac{22}{7} \times 14 \times {r}^{2}$

By cancelling with 7 we get,

$\mapsto \: 704 = \frac{22}{1} \times 2 \times {r}^{2}$

$\mapsto \: 704 = 44 \times {r}^{2}$

$\mapsto \: \frac{704}{44} = {r}^{2}$

$16 = {r}^{2}$

On taking square root we get,

$\sqrt{16} = r$

$4cm = r$

Radius of cylinder=4cm

As we know

Diameter of cylinder=2×radius

On substituting the values we get,

=4cm×2

=8cm

Therefore the diameter of cylinder is 8cm

Additional information:-

Volume of cube=(side) ^3

Volume of cuboid=length×breadth×height

Volume of cylinder=πr^2h

Volume of cone=πr^2 h/3

Volume of sphere=4/3 πr^3

Answer 2

d≈8cm

Step-by-step explanation:

V=π(d

2)2h

Solving ford

d=2×V

πh=2×704

π·14≈8.00161cm