A cone is cut by two planes parallel to its base, dividing the height into three equal parts. The full cone has base radius 9 cm and height 9 cm. Find the radius of the circular section that forms the top of the bottom-most frustum (i.e. at height 3 cm from the base), in cm.

Question

Accepted Answer

6. Measuring from the apex, height 3 cm above the base means 9 - 3 = 6 cm from the apex. Radius = 6/9*9 = 6 cm.

A cone is cut by two planes parallel to its base, dividing the height into three equal parts. The full cone has base radius 9 cm and height 9 cm.
Find the radius of the circular section that forms the top of the bottom-most frustum (i.e. at height 3 cm from the base), in cm.

Step-by-Step Solution

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More Class 10 Frustum of a Cone practice

A cone is cut by two planes parallel to its base, dividing the height into three equal parts. The full cone has base radius 9 cm and height 9 cm.Find the radius of the circular section that forms the top of the bottom-most frustum (i.e. at height 3 cm from the base), in cm.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Frustum of a Cone practice

A cone is cut by two planes parallel to its base, dividing the height into three equal parts. The full cone has base radius 9 cm and height 9 cm.
Find the radius of the circular section that forms the top of the bottom-most frustum (i.e. at height 3 cm from the base), in cm.