Question

The diameter of a cylinder is 5cm and volume of the cylinder is 650cm³, what is the height of the cylinder?​

Answer 1

$\huge \mathfrak{solution}$

Given :

•Diameter of the cylinder = 5cm

so

•radius =D/2= 5/2 cm

and

• Volume of cylinder = 650cm^3

As we know that volume of cylinder =

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

Where r is radius and

h is height of the cylinder.

We have to find the height of the cylinder .

so , put the values .

$= > 650 = \pi( { \frac{5}{2} })^{2} h \\ = > 650 = \frac{22}{7} \times \frac{5}{2} \times \frac{5}{2} \times h \\ = > h = \frac{650 \times 28}{25 \times 22} \\ = > h = \frac{18200}{550} \\ = > h = 33.09$

hence the height is 33.09cm

Answer 2

Diameter = 5cm .

radius = 5/2. cm

volume = 650cm^3

to find h

volume of cylinder = πr^2h

= 650=22/7×25/4×h

= h = 650×28/25×22

=h =18200/550

=h=33.09

so the height is 33.09 cm