Question

Consider a cylinder with a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet? A) V = π(4)2h B) V = π(4h)2 C) V = π(8)2h D) V = π(8h)2

Answer 1

Volume of cylinder = π × (radius)² × (height

V = π × (8/2)² × h

V = 16 π h

V = π (8h) 2

Answer 2

The correct answer is option A

Explanation:

The volume of a cylinder is given by

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

Substituting the values of radius and height in above equation, we get -

`radius = (diameter)/(2) \\radius = (8)/(2) \\radius = 4 feet\\V = \pi 4^(2) h\\`