40 bài tập trắc nghiệm mặt nón mức độ vận dụng, vậ...

A \(\dfrac{{2\sqrt 3 }}{\pi }\).

B \(\dfrac{{\sqrt 3 }}{{2\pi }}\).

C \(\dfrac{{\sqrt 3 }}{\pi }\).    

D \(\dfrac{4}{{\pi \sqrt 3 }}\).

A \(\dfrac{{5\pi {a^3}}}{{12}}.\)

B \(\dfrac{{\pi {a^3}}}{3}.\)

C \(\dfrac{{4\pi {a^3}}}{9}.\)

D \(\dfrac{{5\pi {a^3}}}{9}.\)

A \(\sqrt 5 \pi \)

B \(\dfrac{{10\sqrt 2 \pi }}{3}\)

C \(\dfrac{{8\sqrt 3 \pi }}{3}\)

D \(\dfrac{{5\sqrt 3 \pi }}{3}\)

A \(54\pi \)

B \(16\pi \)

C \(72\pi \)

D \(216\pi \)

A \(\dfrac{{\pi {a^2}\sqrt 3 }}{3}.\)

B \(\dfrac{{\pi {a^2}\sqrt 7 }}{6}.\)

C \(\dfrac{{\pi {a^2}\sqrt {10} }}{8}.\)

D \(\dfrac{{\pi {a^2}\sqrt 7 }}{4}.\)

A \(3,75\pi {a^2}\)   

B \(11,25\pi {a^2}\)

C \(7,5\pi {a^2}\)

D \(15\pi {a^2}\)

A \(6,85\,\,d{m^2}\)

B \(6,75\,\,d{m^2}\)

C \(6,65\,\,d{m^2}\)

D \(6,25\,\,d{m^2}\)

A \(\dfrac{{\left( {\sqrt 5  + 3} \right)\pi }}{6}\)

B \(\dfrac{{\left( {\sqrt 5  + 1} \right)\pi }}{2}\)

C \(\dfrac{{\left( {\sqrt 5  + 1} \right)\pi }}{4}\)  

D \(\dfrac{{\left( {\sqrt 5  + 3} \right)\pi }}{{12}}\)

A \(\dfrac{{4\pi {r^3}}}{{27}}\)

B \(\dfrac{{\pi {r^3}}}{9}\)

C \(\dfrac{{4\pi {r^3}}}{9}\)

D \(\dfrac{{4\pi {r^3}}}{3}\)

A \(128\pi \)

B \(84\pi \)

C \(112\pi \)

D \(90\pi \)

A \(4{a^2}\)

B \(2{a^2}\)

C \(4\sqrt 2 {a^2}\)

D \(2\sqrt 2 {a^2}\)

A \(\dfrac{{\sqrt 2 {a^2}}}{3}\).

B \(\dfrac{{2\sqrt 2 {a^2}}}{3}\).

C \(\dfrac{{\sqrt 2 {a^2}}}{6}\).

D \(\dfrac{{\sqrt 6 {a^2}}}{3}\).

A \(\dfrac{{32\sqrt 5 \pi }}{3}\)

B \(32\pi \)

C \(32\sqrt 5 \pi \)     

D \(96\pi \)

A \(5\sqrt {24} \pi \)

B \(15\sqrt {25} \pi \)

C \(45\pi \)

D \(15\pi \)

A \(\dfrac{{4\pi \sqrt 3 }}{3}\)

B \(\dfrac{{8\pi \sqrt 3 }}{3}\)

C \(8\pi \sqrt 3 \)

D \(4\pi \sqrt 3 \)

A \(\dfrac{{\pi {a^3}\sqrt 6 }}{{27}}.\)

B \(\dfrac{{\pi {a^3}\sqrt 6 }}{9}.\)

C \(\dfrac{{\pi {a^3}\sqrt 3 }}{{27}}.\)

D \(\dfrac{{\pi {a^3}\sqrt 3 }}{9}.\)

A \(\frac{{7\sqrt 3 \pi {a^3}}}{4}\)

B \(\frac{{7\sqrt 3 \pi {a^3}}}{{18}}\)

C \(\frac{{7\sqrt 3 \pi {a^3}}}{{24}}\)

D \(\frac{{7\sqrt 3 \pi {a^3}}}{{12}}\)

A \(\frac{{\pi {a^3}\sqrt 3 }}{3}\)          

B \(\frac{{\pi {a^3}}}{3}\)          

C \(\frac{{\pi {a^3}\sqrt 2 }}{6}\)

D \(\frac{{\pi {a^3}}}{6}\)

A \(k = \dfrac{{3\sqrt {105} }}{5}\)

B \(k = 3\)

C \(k = \dfrac{{7\sqrt {105} }}{9}\)

D \(k = 2\)

A \(\dfrac{{7\sqrt 2 \pi {a^3}}}{{12}}\)

B \(\dfrac{{7\pi {a^3}}}{{12}}\)

C \(\dfrac{{7\sqrt 3 \pi {a^3}}}{6}\)

D \(\dfrac{{7\sqrt 2 \pi {a^3}}}{6}\)

A \(20\)

B \(10\)

C \(\dfrac{{16\sqrt {11} }}{3}\)

D \(\dfrac{{8\sqrt {11} }}{3}\)

A \(\dfrac{{15\pi {a^3}}}{4}\)

B \(\dfrac{{5\pi {a^3}}}{4}\)

C \(15\pi {a^3}\)

D \(5\pi {a^3}\)

A \(\frac{{\pi {a^3}\sqrt {17} }}{6}.\)   

B \(\frac{{\pi {a^3}\sqrt {15} }}{4}.\)   

C \(\frac{{\pi {a^3}\sqrt {17} }}{4}.\)

D \(\frac{{\pi {a^3}\sqrt {17} }}{8}.\)

A \({S_{xq}} = \pi {a^2};\,\,V = \frac{{\sqrt 6 }}{2}{a^3}\)

B \({S_{xq}} = 2\pi {a^2};\,\,V = \frac{{\sqrt 3 }}{2}{a^3}\)

C \({S_{xq}} = 2\pi {a^2};\,\,V = \frac{{\sqrt 6 }}{2}{a^3}\)

D \({S_{xq}} = \pi {a^2};\,\,V = \frac{{\sqrt 3 }}{2}{a^3}\)

A \(\frac{{24{a^2}\sqrt 3 }}{7}\)

B \(\frac{{2{a^2}\sqrt 3 }}{7}\)

C \(12{a^2}\sqrt 3 \)

D \(\frac{{12{a^2}}}{7}\)

A

\(2\sqrt 2 {R^2}\)

B \(4\sqrt 2 {R^2}\)

C \(6\sqrt 2 {R^2}\)

D \(8\sqrt 2 {R^2}\)

A \(\dfrac{{8\sqrt 3 }}{3}.\)

B \(\dfrac{{16\sqrt 3 }}{3}.\)

C \(\dfrac{{16\sqrt 3 }}{9}.\)

D \(\dfrac{{16}}{9}.\)

A \(\dfrac{1}{2}\)

B \(\dfrac{1}{{\sqrt[3]{2}}}\)

C \(\dfrac{1}{{\sqrt 2 }}\)

D \(\dfrac{2}{3}\)

A \(\dfrac{{32\sqrt 5 \pi {a^3}}}{{81}}\)

B \(\dfrac{{5\sqrt 5 \pi {a^3}}}{{81}}\)

C \(\dfrac{{8\sqrt 5 \pi {a^3}}}{{81}}\)

D \(\dfrac{{16\sqrt 5 \pi {a^3}}}{{81}}\)

A \(\dfrac{{\pi {a^3}\sqrt 2 }}{{12}}\)

B \(\dfrac{{\pi {a^3}}}{3}\)

C \(\dfrac{{\pi {a^3}\sqrt 2 }}{2}\)

D \(\pi {a^3}\)

A \(\dfrac{{{a^2}}}{3}\)

B \(\dfrac{{{a^2}\sqrt 2 }}{3}\)

C \({a^2}\sqrt 2 \)

D \(\dfrac{{{a^2}\sqrt 3 }}{3}\)

A \(V = \dfrac{{2\pi {a^3}}}{3}\)

B \(V = \pi {a^3}\)

C \(V = \dfrac{{\pi {a^3}}}{3}\)

D \(V = \dfrac{{\pi {a^3}\sqrt 3 }}{3}\)

A \(2\sqrt 2 \pi \)

B \(3\pi \)

C \(\sqrt {13} \pi \)

D \(4\pi \)

A \(\dfrac{{{R^3}\sqrt 3 }}{8}\)

B \(\dfrac{{{R^3}\sqrt 3 }}{{24}}\)

C \(\dfrac{{{R^3}}}{{24}}\)

D \(\dfrac{{{R^3}\sqrt 3 }}{{12}}\)

A \(\dfrac{{2\sqrt 3 \pi {a^3}}}{9}\)

B \(\dfrac{{3\pi {a^3}}}{8}\)

C \(\dfrac{{\sqrt 3 \pi {a^3}}}{{24}}\)

D \(\sqrt 3 \pi {a^3}\)

A \({S_{xq}} = \dfrac{{\pi {a^2}\sqrt 2 }}{3}\).

B \({S_{xq}} = \dfrac{{\pi {a^2}}}{3}\).

C \({S_{xq}} = \dfrac{{\pi {a^2}\sqrt 3 }}{6}\).

D \({S_{xq}} = \dfrac{{\pi {a^2}\sqrt 3 }}{3}\)

A \(\alpha  = {30^0}\)

B \(\alpha  = {45^0}\)

C \(\alpha  = \arctan \dfrac{1}{2}\)

D \(\alpha  = \arctan \dfrac{1}{{\sqrt 2 }}\)

A \(\dfrac{{{V_1}}}{{{V_2}}} = \dfrac{2}{{5\pi }}\)

B \(\dfrac{{{V_1}}}{{{V_2}}} = \dfrac{{2\pi }}{5}\)

C \(\dfrac{{{V_1}}}{{{V_2}}} = \dfrac{5}{{2\pi }}\)

D \(\dfrac{{{V_1}}}{{{V_2}}} = \dfrac{{5\pi }}{2}\)

A \(15m\)

B \(10m\)

C \(5\sqrt 3 m\)

D \(5\sqrt 5 m\)