In the diagram, the cylinder and the hexagonal prism have the same height, h = 12 centimeters, and any horizontal cross sections at the same height have equal area. Use Cavalieri's principle to calculate the approximate radius of the cylinder, r, if the volume of the hexagonal prism is 280.8 cubic centimeters. Round your answer to the nearest hundredth.

r≈ __ centimeters.

30 people weigh 160 pounds or more

hello there,

to convert kg to pounds and ounces you set up

turn the kg into

8.3/x = 1/2.2

x = 18.26

now convert the pounds into

18.26/x = 1/16

x = 292.16

now that is the answer in ounces.

answer: 18.26 lb; 292.16 oz

hope i

-char

answer: qc and de are congruent

hope i ! : )

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.