40 câu trắc nghiệm chuyên đề Mặt nón, mặt trụ và m...

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. $36\pi$