Question

find the diameter of a cylind3r if it's volune is 44cm^3 and height is 3.5cm​

Answer 1

Given -

• Volume of the cylinder =44cm³
• Height (h) of the cylinder =3.5cm

To find

• The diameter of the cylinder

Solution -

We know that,

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

Now by putting the values we will get

$44 = \frac{22}{7} \times {r}^{2} \times 3.5$

$44 = \frac{22}{7} \times {r}^{2} \times \frac{35}{10}$

$44 = {r}^{2} \times \frac{770}{70}$

$44 = {r}^{2} \times 11$

${r}^{2} = \frac{44}{11}$

${r}^{2} = 4$

$r = \sqrt{4}$

$r = 2$

Radius of the cylinder =2 cm

Now,

We know that,

Diameter =2×radius

Diameter =2×2

Diameter =4

Therefore the diameter of the cylinder is 4 cm

Related Formulae -

$1)Volume \: of \: cylinder = \pi {r}^{2} h$

$2)Curved \: surface \: area \: of \: cylinder = 2\pi \: rh$

$3)Total \: surface \: area \: of \: cylinder = 2\pi \: r(r + h)$