# QA – Placement Quizzes | Mensuration 3D | Question 8

A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be:**(A)** 1:2**(B)** 2:1**(C)** 1:2^0.5**(D)** 2^0.5:1**Answer:** **(D)****Explanation:** Let r be the radius of the hemisphere and the cone. Given,

Height of Cone = Radius of Hemisphere = r

Slant height of Cone = √(r²+ r²) = √2r

Ratio of their Curved Surfaces = Hemisphere/Cone

= 2 * π * r² / π * r * √2r

= √2:1.

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