gaokao 2018 Q10

gaokao · China · national-III-science 5 marks Volumes of Revolution Volume of a 3D Geometric Solid (Pyramid/Tetrahedron)

Points $A, B, C, D$ are on the surface of a sphere with radius 4. $\triangle ABC$ is an equilateral triangle with area $9 \sqrt { 3 }$. The maximum volume of the tetrahedron $D$-$ABC$ is
A. $12 \sqrt { 3 }$
B. $18 \sqrt { 3 }$
C. $24 \sqrt { 3 }$
D. $54 \sqrt { 3 }$

Points $A, B, C, D$ are on the surface of a sphere with radius 4. $\triangle ABC$ is an equilateral triangle with area $9 \sqrt { 3 }$. The maximum volume of the tetrahedron $D$-$ABC$ is\\
A. $12 \sqrt { 3 }$\\
B. $18 \sqrt { 3 }$\\
C. $24 \sqrt { 3 }$\\
D. $54 \sqrt { 3 }$

Paper Questions

Q1 Q2 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18