A cylinder has radius 1.7 meters. Its volume is 98 cubic meters. Find its height to the nearest tenth of a meter

1 answer

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

\( V = \pi r^2 h \)

Given that the radius \( r = 1.7 \) meters and the volume \( V = 98 \) cubic meters, we can rearrange the formula to solve for the height \( h \):

\( h = \frac{V}{\pi r^2} \)

Substitute the values of \( V \) and \( r \) into the formula:

\( h = \frac{98}{\pi (1.7)^2} \)

Calculating:

\( h \approx \frac{98}{\pi \times 2.89} \)
\( h \approx \frac{98}{9.0983} \)
\( h \approx 10.77 \)

Therefore, the height of the cylinder is approximately 10.8 meters to the nearest tenth.