Question

A cylinder has a radius of 1.6 meters. Its volume is 95 cubic meters. Find it's height to the nearest tenth of a meter.

Answer 1

The height of cylinder is 11.8 meters

Solution:

The volume of cylinder is given as:

$V = \pi r^2h$

Where,

r is the radius and h is the height of cylinder

From given,

V = 95 cubic meters

r = 1.6 meters

h = ?

Substituting the values we get,

$95 = 3.14 \times 1.6^2 \times h\\\\95 = 8.0384 \times h\\\\h = \frac{95}{8.0384}\\\\h = 11.818 \approx 11.8$

Thus height of cylinder is 11.8 meters