Find the volume of a cylinder with an elliptical base that has a major semiaxis of 6 cm, a minor semiaxis of 5 cm, and an altitude of 12 cm. Use 3.14 for pi.

Question

asked Jan 22, 2019 225k views

1 Answer

Shemeemsha R A · Answer 1 · 2019-01-27T07:11:54+0000

To solve this we are going to use the formula for the volume of a elliptical cylinder:
$V= \pi ABh$
where

is the volume of the cylinder in cubic centimeters

is the measure of the major semiaxis

is the measure of the minor semiaxis

is the altitude of the cylinder

We know for our problem that
A=6

,

,

, and
$\pi =3.14$ . Lets replace those values in our formula to find

:

$V= \pi ABh$

V=(3.14)(6)(5)(12)

We can conclude that the volume of our cylinder with elliptical base is 1130.4 cubic centimeters.