40 câu trắc nghiệm chuyên đề Mặt nón, mặt trụ và mặt cầu Hình học 12 năm học 2018 -...

A. \(\frac{{\pi {a^2}b}}{3}\)

B. \(\pi {a^2}b\)

C. \(\frac{{\pi {a^3}b}}{3}\)

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

A. \(S = 30{a^2}\pi \)

B. \(S = 40{a^2}\pi \)

C. \(S = 20{a^2}\pi \)

D. \(S = 15{a^2}\pi \)

A. \(\frac{{100\pi }}{3}\)

B. \(15\pi \)

C. \(41\pi \)

D. \(\frac{{25\pi }}{3}\)

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

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

C. \(V = \frac{{\pi {a^3}\sqrt 3 }}{6}\)

D. \(V = \frac{{\pi {a^3}\sqrt 3 }}{2}\)

A. \(V = \frac{1}{{24}}{a^3}\sqrt 3 \)

B. \(V = \frac{1}{{12}}\pi {a^3}\sqrt 3 \)

C. \(V = \frac{1}{{12}}\pi {a^3}\)

D. \(V = \frac{1}{{24}}\pi {a^3}\sqrt 3 \)

A. \(9\pi {a^3}\)

B. \(12\pi {a^3}\)

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

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

A. \({S_{tp}} = 72\pi {a^2}\)

B. \({S_{tp}} = 36\pi {a^2}\)

C. \({S_{tp}} = \frac{{336\pi }}{5}{a^2}\)

D. \({S_{tp}} = \frac{{336\pi }}{5}\)

A. \(\sin \varphi  = \frac{{2\sqrt 5 }}{5}\)

B. \(\tan \varphi  = \frac{{\sqrt 5 }}{5}\)

C. \(\cos \varphi  = \frac{{2\sqrt 5 }}{5}\)

D. \(\cot \varphi  = \frac{{\sqrt 5 }}{5}\)

A. \(150\pi \) \(cm^3\)

B. \(200\pi \) \(cm^3\)

C. \(100\pi \) \(cm^3\)

D. \(50\pi \) \(cm^3\)

A. \(\frac{{3 + 2\sqrt 2 }}{2}\pi {R^2}\)

B. \(\frac{{3 + 2\sqrt 3 }}{2}\pi {R^2}\)

C. \(\frac{{\sqrt 3 \left( {\sqrt 2  + 1} \right)}}{4}\pi {R^2}\)

D. \(\frac{{\sqrt 3 \left( {\sqrt 3  + 1} \right)}}{4}\pi {R^2}\)

A. \(r = \frac{{5\sqrt 2 \pi }}{2}\)

B. \(r=5\)

C. \(r = 5\sqrt \pi  \)

D. \(r = \frac{{5\sqrt 2 }}{2}\)

A. \(V = \frac{{\pi {a^3}}}{4}\)

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

C. \(V = \frac{{\pi {a^3}}}{6}\)

D. \(V = \frac{{\pi {a^3}}}{2}\)

A. \(\pi {a^3}\)

B. \(\frac{{\pi {a^3}}}{{12}}\)

C. \(\frac{{\pi {a^2}\sqrt 5 }}{4}\)

D. \(\frac{{\pi {a^3}}}{4}\)

A. \(\frac{{27\pi {a^2}}}{2}\)

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

C. \(\frac{{13{a^2}\pi }}{6}\)

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

A. \(21 cm^2\)

B. \(56 cm^2\)

C. \(70 cm^2\) 

D. \( 28 cm^2\)

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

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

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

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

A. \(8\sqrt 2 \pi \)

B. \(4\sqrt 2 \pi \)

C. \(8\pi\)

D. \(4\pi\)

A. \({S_{tp}} = 6\pi {a^2}\)

B. \({S_{tp}} = 4\pi {a^2}\)

C. \({S_{tp}} = 2\pi {a^2}\)

D. \({S_{tp}} = 8\pi {a^2}\)

A. \(3\)

B. \(4\)

C. \(\frac{{3\sqrt 3 }}{2}\)

D. \(\frac{{5\sqrt 3 }}{2}\)

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

B. \(16a^3\)

C. \(16\pi {a^3}\)

D. \(4\pi {a^3}\)

A. \(R = \frac{{5a\sqrt 2 }}{3}\)

B. \(R = \frac{{5a\sqrt 3 }}{3}\)

C. \(R = \frac{{5a\sqrt 2 }}{2}\)

D. \(R = \frac{{5a\sqrt 3 }}{2}\)

A. \(R = \frac{{5a}}{2}\)

B. \(R = \frac{{17a}}{2}\)

C. \(R = \frac{{13a}}{2}\)

D. \(R=6a\)

A. \(V = \frac{{\pi {a^3}}}{3}\)

B. \(V = \frac{{7\pi {a^3}\sqrt {21} }}{{54}}\)

C. \(V = \frac{{\pi {a^3}\sqrt {21} }}{{54}}\)

D. \(V = \frac{{\pi {a^3}}}{{54}}\)

A. \(\pi {a^2}\)

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

C. \(a^2\)

D. \(3\pi {a^2}\)

A. \(\frac{{16{a^3}\pi \sqrt {14} }}{{49}}\)

B. \(\frac{{2{a^3}\pi \sqrt {14} }}{7}\)

C. \(\frac{{64{a^3}\pi \sqrt {14} }}{{147}}\)

D. \(\frac{{64{a^3}\pi \sqrt {14} }}{{49}}\)

A. \(\frac{{\pi {a^3}}}{{32}}\)

B. \(\frac{{\pi {a^3}\sqrt 3 }}{{32}}\)

C. \(\frac{{32\sqrt 3 \pi {a^3}}}{{27}}\)

D. \(\frac{{32\pi {a^3}}}{9}\)

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

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

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

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

A. \(R = \frac{{a\sqrt {86} }}{2}\)

B. \(R = \frac{{a\sqrt {62} }}{8}\)

C. \(R = \frac{{a\sqrt {82} }}{6}\)

D. \(R = \frac{{a\sqrt {68} }}{2}\)

A. \(R=3a\)

B. \(R = \frac{{a\sqrt {85} }}{3}\)

C. \(R = \frac{{a\sqrt {79} }}{3}\)

D. \(R = \frac{{5a}}{2}\)

A. \(\sqrt {34} \)

B. \(6\)

C. \(\frac{{\sqrt {34} }}{2}\)

D. \(2\sqrt 3 \)

A. \(\frac{{16\pi }}{3}\)

B. \({16\pi }\)

C. \(\frac{{32\pi }}{3}\)

D. \(32\pi\)

A. \(r=3a\)

B. \(r=4a\)

C. \(r = 2\sqrt 2 a\)

D. \(r = \sqrt 5 a\)

A. \(R = a\sqrt 2 \)

B. \(R=a\)

C. \(R = \frac{{a\sqrt 2 }}{2}\)

D. \(R = 2a\sqrt 2 \)

A. \(\frac{{a\sqrt 3 }}{2}\)

B. \({a\sqrt 2 }\)

C. \(\frac{{a\sqrt 2 }}{2}\)

D. \(a\)

A. \({a\sqrt 3 }\)

B. \({a\sqrt 2 }\)

C. \(R = \frac{{a\sqrt 3 }}{2}\)

D. \(R = \frac{{a\sqrt 2 }}{2}\)

A. \(\frac{{{V_1}}}{{{V_2}}} = \frac{9}{{16}}\)

B. \(\frac{{{V_1}}}{{{V_2}}} = \frac{1}{{3}}\)

C. \(\frac{{{V_1}}}{{{V_2}}} = \frac{3}{{16}}\)

D. \(\frac{{{V_1}}}{{{V_2}}} = \frac{2}{{3}}\)

A. \(V = \frac{{32\pi }}{3}\)

B. \(V=16\pi\)

C. \(V = \frac{{16\pi }}{3}\)

D. \(V=32\pi\)

A. \(\frac{1}{2}\)

B. \(\frac{1}{3}\)

C. \(1\)

D. \(2\)

A. \(\pi \sqrt 6 \)

B. \(8\pi \sqrt 6 \)

C. \(24\pi\)

D. \(6\pi \sqrt 3 \)

A. \(\frac{{81}}{2}\pi \)

B. \(54\pi\)

C. \(48\pi\)

D. \(36\pi\)