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geometry intermediate
Problem
Which of the cones below can be formed from a sector of a circle of radius 10 by aligning the two straight sides?
A. base radius = 6, slant =10
B. base radius = 6, height =10
C. base radius = 7, slant =10
D. base radius = 7, height =10
E. base radius = 8, slant = 10
A. base radius = 6, slant =10
B. base radius = 6, height =10
C. base radius = 7, slant =10
D. base radius = 7, height =10
E. base radius = 8, slant = 10
Solution
The slant height of the cone is equal to the radius of the sector, or . The circumference of the base of the cone is equal to the length of the sector's arc, or . The radius of a circle with circumference is . Hence the answer is .
Final answer
C