Question

The volume of a cylinder is 9240 cm cube and the circumference of its base is 88cm find the height of the cylinder

Answer 1

circumference of cylinder = 88cm

circumference of cylinder = 2 pi r

88 = 2pi r
$volume \: of \: cylinder = 2\pi \: r \: h \\ \\ 9240 = 88h \\ \\ h = \frac{9240}{88} = 105$
height of the cylinder is 105 cm

Answer 2

The Height of the cylinder is 0.26 cm

Step-by-step explanation:

Circumference of base =$2 \pi r = 88 cm$

Volume of cylinder =$\pi r^2h = \pi r h \times r = 88r$

We are given that the volume of cylinder is 9240 cubic cm

So, 88r=9240

$r=\frac{9240}{88}$

r=105

So, $\pi r^2 h = 9240 \\\frac{22}{7} \times 105^2 \times h = 9240\\h = \frac{9240 \times 7}{22 \times 105^2}$

h=0.26

Hence The Height of the cylinder is 0.26 cm

#Learn more:

The circumference of the base of a cylinder is 88cm and its height is 30cm. Find the volume of the cylinder

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