A piston is seated at the top of a cylindrical chamber with radius 3 cm when it starts moving into the chamber at a constant speed of 4 cm/s (see figure). What is the rate of change of the volume of the cylinder when the piston is 15 cm from the base of the chamber? a) Let V, r, and h be thevolume, radius, and height of a cylinder, respectively. Write an equation relating V, r, and h.
b) Find the related rates equation.
c) When the piston is 15cm from the base of the chamber, the volume of the cylinder is changing at a rate of about

Find the total area for the regular pyramid ( follow the answer set up in the picture)

6.(q^9)^2 a. 2q^18 b. q^18 c. q^81 d. q^11 7.(6q^6)^-4 a. 6q^1296 b. 1296q^2 c. 1/1296q^24 d. 6q^-24 8. what is the value of 12x^-3 y^-1 for x = -1 and y = 5? a. -12/5 b.-10 c.-0 d.5/12 9. (y^-5)^10y^10 a. y^-60 b. y^60 c. y^-150 d. y^150 find the simplified form of each expression. 10. (4/7^5)^2 a.8/14^10 b.16/49^25 c.16/49y^10 d.8/14y^25 11. determine if the number 3.43 times 10^-6 is written in scientific notation. if not, explain. a. yes; the number is written scientific notation. b. no; the first factor is not a number between 1 and 10. c. no; it is not written as a number times a power of 10

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?