Question

The volume of a cylinder is 539 cm cube and the circumference of the base is 22 cm. find the height of the cylinder.

Answer 1

Answer:

Aproximated height is:

14 cm

Step-by-step explanation:

volume of a cylinder = л r² h

л = 3.1416 (aprox)

r = radius

h = height

r = circunference/2л

r = 22/(2*3.1416)

r = 3.5    (aprox)

then volume is:

539 = 3.1416 * 3.5² * h

539 = 3.1416 * 12.25 * h

539 = 38.5 * h

h = 539/38.5

h = 14 cm     (aprox)

Answer 2

Answer:

13.994$cm (5.sf)$

Step-by-step explanation:

We know that the base of the cylinder is a circular base.

So circumference of base = $2\pi r$

Given $2\pi r=22cm\\\\r=\frac{22}{2\pi } \\r=\frac{11}{\pi } cm$

Volume of a cylinder = $\pi r^{2} h$ = 539$cm^{3}$

Substitute r into the formula for volume of cylinder.

$\pi (\frac{11}{\pi } )^{2} h=539\\\pi (\frac{121}{\pi ^{2} } )h=539$

Now, we will cancel $\pi$ from the numerator and denominator.

$(\frac{121}{\pi } )h=539\\h = \frac{539}{\frac{121}{\pi } } \\h = 539 * \frac{\pi }{121} \\h = 13.994cm(5s.f)$