Question

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 249 cubic units.

What is the height of the cylinder?
O2 units
4 units
O 6 units
O 8 units

Answer 1

h = 6 units

Explanation:

Volume of a cylinder = πr²h

where r is the radius

h is the height

The height of a right cylinder is 3 times the radius of the base is written as

h = 3r

Volume = 249cubic units

So we have

249 = π r²(3r)

249 = π3r³

Divide both sides by 3π

r³ = 249/3π

r = 2

h = 3(2)

h = 6 units

Hope this helps you