Question

the volume of a right circular cylinder is 112.64m3 if radius of its base is 1.6m find its height

Answer 1

Step-by-step explanation:

Given.

Volume=112.64m^3

Radius =1.6m

Height=?

we know,

Volume=pir^2h

112.64=pi 1.6^2×h

112.64×7=22×2.56×h

h=112.64×7/22×2.56

Therefore h=14 m

Answer 2

$\mathfrak{\large{\underline{\underline{Answer : -}}}}$

$\mathfrak{\large{\underline{\underline{Explanation : -}}}}$

Radius of the cylinder = 1.6 m

Volume of the cylinder = 112.64 m³

$\boxed{volume\:of\:the\:cylinder = \pi \times {radius}^{2}\times height}$

$112.64 = \frac{22}{7}\times{1.6}^{2}\times h$

$112.64 = \frac{22}{7}\times 2.56 \times h$

$\frac{112.64 \times 7}{22 \times 2.56} = h$

$h = \frac{788.48}{56.32}$

$h = \frac{788.48 \times 100}{56.32 \times 100}$

$h = \frac{78848}{5632}$

$h = 14$

Therefore height of a right circular cylinder is 14 m.