Question

The height of a right triangle is 3 times the radius of the base. The volume of the cylinder is 24 cubic units. What is the height of the cylinder?

Answer 1

Volume of cylinder( V )=π × r^2 × h
h=3r(Given)
Substitute h=3r and V=24 cubic units in the equation V =π × r^2 × h.
V =π × r^2 × (3r)
24 =π × r^2 × 3r
24 =3π × r^3
r^3=24/3π
r^3=8/π
$r = \sqrt[3]{ \frac{8}{\pi} }$
r=1.37 units
h=3×1.37
=4.1 units