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The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

What is the height of the cylinder?
O 2 units
O 4 units
O 6 units
O 8 units

User Pedrohreis
by
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1 Answer

3 votes

Correct question:

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242 cubic units.

Answer:

6 units

Explanation:

Let, radius, r = x

Height, h = 3x

Volume, V = 24π

Volume of cylinder = =πr²h

24π = π * x² * 3x

24π = π* 3x³

24 = 3x³

24 / 3= x³

8 = x³

x = 2

Height, h = 3x

h = 3(2) = 6 units

User Arielma
by
8.1k points

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