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• 2006 AMC 12B Problems
  ...ll, and then drank 2 ounces. What is the resulting ratio of the amount of cream in Joe's coffee to that in JoAnn's coffee? ...hat is the perimeter of the rectangle? (The area of an ellipse is <math>ab\pi</math> where <math>2a</math> and <math>2b</math> are the lengths of the axe
  13 KB (2,058 words) - 12:36, 4 July 2023
• 2002 AMC 12A Problems
  ...\pi \qquad \text{(C)}\ 2\pi \qquad \text{(D)}\ 3\pi \qquad \text{(E)}\ 3.5\pi</math> ...cup back to the first. What fraction of the liquid in the first cup is now cream?
  12 KB (1,792 words) - 13:06, 19 February 2020
• 2003 AMC 12B Problems
  real r = 5/dir(54).x, h = 5 tan(54*pi/180); ...elted ice cream occupies <math>75\%</math> of the volume of the frozen ice cream. What is the ratio of the cone’s height to its [[radius]]?
  13 KB (1,987 words) - 18:53, 10 December 2022
• 2006 AMC 10B Problems
  ...s constructed on the side of a square whose sides measure <math> \frac{2}{\pi} </math>, as shown. What is the perimeter of this region? ...\ } \frac{8}{\pi}\qquad \mathrm{(D) \ } 4\qquad \mathrm{(E) \ } \frac{16}{\pi} </math>
  14 KB (2,059 words) - 01:17, 30 January 2024
• 2003 AMC 12B Problems/Problem 13
  ...elted ice cream occupies <math>75\%</math> of the volume of the frozen ice cream. What is the ratio of the cone’s height to its [[radius]]? <cmath>75\% \cdot \left(\frac 43 \pi r^3\right) = \frac 13 \pi r^2 h \Longrightarrow h = 3r</cmath>
  960 bytes (154 words) - 15:20, 17 October 2016
• Cone
  ...ath> and height <math>h</math> has [[volume]] <math>V = \frac{1}{3} \cdot \pi r^2 \cdot h</math>. This is a special case of the general formula for the ...[lateral area]] is <math>\pi rs</math>, and the area of the base is <math>\pi r^2</math>).
  7 KB (1,128 words) - 20:12, 27 September 2022
• 2008 iTest Problems
  ...08</math>, and the area of a circle inscribed in the triangle is <math>100\pi^3</math>. Let A be the area of the triangle. Compute <math>\lfloor A\rfloor ...<math>S</math> be the sum of all <math>x</math> in the interval <math>[0,2\pi)</math> that satisfy <math>\tan^2 x - 2\tan x\sin x=0</math>. Compute <math
  71 KB (11,749 words) - 01:31, 2 November 2023
• 2002 AMC 10A Problems
  ...\pi \qquad \text{(C)}\ 2\pi \qquad \text{(D)}\ 3\pi \qquad \text{(E)}\ 3.5\pi</math> ...back into the first cup. What fraction of the contents in the first cup is cream?
  11 KB (1,733 words) - 11:04, 12 October 2021
• 2003 AMC 10B Problems
  ...2 h / 3</math> and a sphere with radius <math>r</math> has volume <math>4 \pi r^3 / 3</math>.) ...qquad\textbf{(D) } \frac{\pi +\sqrt{3}}{2} \qquad\textbf{(E) } \frac{7}{6}\pi - \frac{\sqrt{3}}{2}</math>
  15 KB (2,166 words) - 21:17, 16 February 2021
• 2003 AMC 10B Problems/Problem 17
  ...2 h / 3</math> and a sphere with radius <math>r</math> has volume <math>4 \pi r^3 / 3</math>.) ...>75 \%</math> of that, which is <math>\pi r^3.</math> Since the melted ice cream fills the cone exactly,
  1 KB (252 words) - 16:43, 29 June 2021
• 2012 AMC 10B Problems
  ...a week starting with Sunday. The dessert each day is either cake, pie, ice cream, or pudding. The same dessert may not be served two days in a row. There mu ...xtbf{(C)}\ 12\pi+\sqrt{3}\qquad\textbf{(D)}\ 10\pi+9\qquad\textbf{(E)}\ 13\pi</math>
  18 KB (2,350 words) - 18:48, 9 July 2023
• Gmaas
  ...te dreadful. EDIT: He now eats gnats again. He thinks that they taste like pi(e). EDIT: He ate 3,141,592,653,589,793,238,462,643,383 so far. 4. Gmaas wants every fact to have a pi reference. Gmaas created pi. EDIT: He made it 3.1415926 times.
  69 KB (11,805 words) - 20:49, 18 December 2019
• 2017 AMC 12B Problems
  ...(x)</math> and <math>\cos(x)</math> are periodic with least period <math>2\pi</math>. What is the least period of the function <math>\cos(\sin(x))</math> ...i}{2}\qquad\textbf{(B)}\ \pi\qquad\textbf{(C)}\ 2\pi \qquad\textbf{(D)}\ 4\pi \qquad\textbf{(E)}</math> It's not periodic.
  15 KB (2,343 words) - 18:26, 25 December 2020
• 2017 AMC 12B Problems/Problem 14
  ...ottom, is the top base of the frustum. What is the total volume of the ice cream, in cubic inches? ...extbf{(C)}\ 12\pi \qquad \textbf{(D)}\ 14\pi \qquad \textbf{(E)}\ \frac{44\pi}{3}</math>
  1 KB (218 words) - 00:31, 25 January 2023
• 2008 iTest Problems/Problem 56
  ...closer, she sees the wormhole, which looks oddly like a huge scoop of ice cream. Alexis runs into the wormhole, then wakes up. ...ath>\cos AOD = \pm \frac{3}{5}</math>, but since <math>\angle AOD < \frac{\pi}{2}</math>, <math>\cos AOD = \frac{3}{5}</math>.
  7 KB (1,092 words) - 19:05, 17 December 2021
• GMAAS
  4. The Infinity Numeral, PI, is the second deity of the Almighty Gmaas's heaven. ...te dreadful. EDIT: He now eats gnats again. He thinks that they taste like pi(e). EDIT: He ate 3,141,592,653,589,793,238,462,643,383 so far.
  85 KB (13,954 words) - 17:25, 22 March 2024
• 2021 CMC 12A Problems
  ...of <math>7\pi</math> and the total area covered by the circles is <math>25\pi</math>. What is the value of <math>r</math>? ...ot distinguishable, how many ways are there to distribute one scoop of ice cream to each of <math>5</math> different people?
  5 KB (776 words) - 09:35, 8 August 2023
• Know the Facts: Gmaas
  ...te dreadful. EDIT: He now eats gnats again. He thinks that they taste like pi(e). EDIT: He ate 3,141,592,653,589,793,238,462,643,383 so far. 4. Gmaas wants every fact to have a pi reference. Gmaas created pi. EDIT: He made it 3.1415926 times.
  88 KB (14,928 words) - 13:54, 29 April 2024