Answer to Question #148855 in Geometry for RV

Question

1. The lateral area of a right circular cone is to be determined, which equation fits the requirement?

2. The lateral area of a right circular cylinder is to be determined, which equation fits the requirement?

3. A rectangular solid whose dimensions are 4cm, 8cm, and 12cm is inscribed in a sphere. What is the diagonal of the rectangular solid?

Answer 1

1. Lateral area of a right circular cone = πrl

where l = slant height of the cone.

2. Lateral area of a right circular cylinder = 2πrh

where h = altitude of cylinder

3. Using Pythagoras' theorem

b² = l² + w²

b² = 4² +8²

b² = 16 + 64

b² = 80

b = 8.94cm

D² = b² +h²

D² = (8.94)² + 12²

D² = 80 + 144

D² = 224

D = 14.97cm