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(a) Find inequalities that describe a hollow ball with diameter 100 cm and thick

ID: 2882702 • Letter: #

Question

(a) Find inequalities that describe a hollow ball with diameter 100 cm and thickness 0.1 cm. (Assume the ball is centered at the origin of the coordinate system.) 99.9 lessthanorequalto rho lessthanorequalto 100, pi lessthanorequalto theta lessthanorequalto 2 pi, 0 lessthanorequalto phi lessthanorequalto pi/2 49.9 lessthanorequalto rho lessthanorequalto 50, pi lessthanorequalto theta lessthanorequalto 2 pi, 0 lessthanorequalto phi lessthanorequalto pi/2 99.9 lessthanorequalto rho lessthanorequalto 100, 0 lessthanorequalto theta lessthanorequalto 2 pi, 0 lessthanorequalto phi lessthanorequalto pi 49.9 lessthanorequalto rho lessthanorequalto 50, 0 lessthanorequalto theta lessthanorequalto 2 pi, 0 lessthanorequalto phi lessthanorequalto pi 0.1 lessthanorequalto rho lessthanorequalto 50, 0 lessthanorequalto theta lessthanorequalto pi, 0 lessthanorequalto phi lessthanorequalto pi/2 (b) Suppose the ball is cut in half. Write inequalities that describe one of the halves. (Select all that apply.) 49.9 lessthanorequalto rho lessthanorequalto 50, 0 lessthanorequalto theta lessthanorequalto pi, 0 lessthanorequalto phi lessthanorequalto pi/2 49.9 lessthanorequalto rho lessthanorequalto 50, 0 lessthanorequalto theta lessthanorequalto 3 pi/2, 0 lessthanorequalto phi lessthanorequalto pi 49.9 lessthanorequalto rho lessthanorequalto 50, 0 lessthanorequalto theta lessthanorequalto 2 pi, 0 lessthanorequalto phi lessthanorequalto pi 49.9 lessthanorequalto rho lessthanorequalto 50, 0 lessthanorequalto theta lessthanorequalto 2 pi, 0 lessthanorequalto phi lessthanorequalto pi/2 49.9 lessthanorequalto rho lessthanorequalto 50, 0 lessthanorequalto theta lessthanorequalto pi, 0 lessthanorequalto phi lessthanorequalto pi

Explanation / Answer

you have marked the right option in both problem. because co-ordinates for hemisphere is

49.9<= r =< 50

0 <= theta <= 2pi

0 <= phi <= pi/2

if not showing correct try option C