Three Dimensional Shapes Question
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Grade 11 Three Dimensional Shapes CCSS: HSG-SRT.B.5, HSG-SRT.C.8, HSG-MG.A.3
A company is looking to create a new toy. The toy consists of a cone-shaped cup, which is attached by a long string to a ball. The objective is to swing the ball into the cup, while only holding the cup. If the cup is 10 cm in height and has a radius of 3 cm, what is largest ball possible (in terms of radius) that will completely fit into the cup (the top of the ball will be at most level with the top of the cone, but not above it)? Round the answer to one decimal place. Hints: consider a cross section; use similar triangles.
- 0.9 cm
- 2.2 cm
- 2.9 cm
- 4.5 cm