Question

The volume of a cylinder is 100. Another cylinder has twice the height but half the base radius. What is the volume of the second cylinder

Answer 1

• 50 units³

Explanation:

Cylinder volume formula:

• V = πr²h

Given:

The first cylinder, has base radius - r and height - h. Its volume is:

• V₁ = πr²h = 100

The second cylinder has:

• R = r/2 and H = 2h

Its volume is:

• V₂ = πR²H = π(r/2)²*(2h) = πr²h/2 = V₁/2

Substitute the value of the first cylinder:

• V₂ = V₁/2 = 100/2 = 50