gaokao 2024 Q5

gaokao · China · national-I_github 5 marks Volumes of Revolution Volume of a 3D Geometric Solid (Pyramid/Tetrahedron)
A cylinder and a cone have equal base radii and equal lateral surface areas, and both have height $\sqrt { 3 }$ . Then the volume of the cone is
A. $2 \sqrt { 3 } \pi$
B. $3 \sqrt { 3 } \pi$
C. $6 \sqrt { 3 } \pi$
D. $9 \sqrt { 3 } \pi$
A cylinder and a cone have equal base radii and equal lateral surface areas, and both have height $\sqrt { 3 }$ . Then the volume of the cone is\\
A. $2 \sqrt { 3 } \pi$\\
B. $3 \sqrt { 3 } \pi$\\
C. $6 \sqrt { 3 } \pi$\\
D. $9 \sqrt { 3 } \pi$