A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere?
A. Square root 3:1
B. 1:1
C. 1/2:1
D. Square root 2:1
E. 2:1
Answer: B
Please explain reasoning
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The height of the cone goes from the center of the base of the hemisphere to the surface of the hemisphere. That's the radius of the hemisphere.A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere?
A. √3:1
B. 1:1
C. 1/2:1
D. √2:1
E. 2:1
So the height of the cone is the same as the radius of the hemisphere, and therefore the ratio of the height of the cone to the radius of the hemisphere is 1:1.
The correct answer is B.
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If a right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere, then the height of the cone is exactly the radius of the hemisphere. So the ratio is 1:1.oquiella wrote:A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere?
A. Square root 3:1
B. 1:1
C. 1/2:1
D. Square root 2:1
E. 2:1
Answer: B
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