The diagram shows a sphere and a solid cylinder.

The sphere has radius 6 cm.
The solid cylinder has a base radius of 3 cm and a height of h
cm.

The total surface area of the cylinder is twice the total surface area of the sphere. Work out the ratio of the volume of the sphere to the volume of the cylinder. Give your answer in its simplest form.

(5 marks)

id

step-by-step explanation:

idk

idk

i know the way

and

idk

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

answer:

probably the same as it is today since you did not eat the corn dogs yet

step-by-step explanation:

your answer is  

a.

5

step-by-step explanation: