Hemisphere on a
meter is 14 m. the overall
27. a lighthouse consists of a hemisphe
cylinder. the diameter is 14 m m
height is 37 m. find, taking a = 22 +
external surface area of the lighthous
(you may ignore the base area of the
of the cylinder.)
37 m
+14 m
→

An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. what is the probability you will roll a brown on your next toss of the die? express your answer as a simplified fraction or a decimal rounded to four decimal places.

[15 points, algebra 2]simplify the complex fraction and find the restrictions.

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8