Question

A right circular cone has a base radius of 4 and a height of 6. A right circular cylinder also has a base radius of 4 and a height of 6. Let A be the lateral surface area of the cone, and let B be the lateral surface area of the cylinder. Find A/B.

Answer 1

• A/B = 0.6

Explanation:

Given dimensions of

• Right circular cone: r = 4 and h = 6
• Right circular cylinder: r = 4 and h = 6

Find the lateral surface area of both figures

The cone

• 
  `A= \pi r√(h^2+r^2)=3.14*4√(6^2+4^2)= 90.57`

The cylinder

• 
  `B=2\pi rh=2*3.14*4*6 = 150.72`

Find the ratio A/B

• A/B = 90.57/150.72 = 0.6 (rounded0