A Right Cylinder has a radius of 3 cm and a height of 5 cm.
a. Find the Surface Area and Volume of the Right Cylinder.
Answer (Show Work):
b. If you wanted more volume in your cylinder, which of these two ideas would give the most Volume:
i. Doubling the radius to 6 cm, while the height remains 5 cm
OR
ii. Tripling the height to 15 inches, while the radius remains 3cm
Answer (Show Work):

Step-by-step explanation:

Given,

Radius = 3 cm

Height= 5 cm

Find ,

Surface area of cylinder, Volume of cylinder.

Solution -

a)

Surface area of cylinder =  

putting the values ,

  =

  =  

Surface area of cylinder is .

Volume of cylinder

 putting the values,

=

Volume of Cylinder is .

b)  The second idea of tripling the height to 15 inches will give more volume  than idea (i) as the volume is directly proportional to height

solution-

Height= 15 inches = 15*2.5= 37.5 cm

radius = 3 cm

Going by the formula,

Volume of cylinder

now put the values,

gives

Volume of cylinder is .

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: