Answer:
Area = 270π inches squared. Volume = 550π inches cubed
Step-by-step explanation:
Surface Area:
Cylinder Area=2πrh+2πr^2= 180π+50π=230π inches squared.
Cone Area = πr(r+√(h^2+r^2)) = 5π(18) = 90π inches squared.
Total Area = 230π+90π = 320π inches squared.
Total Area - base = 320π-50π = 270π inches squared.
Volume:
Cylinder volume = πr^2h = 450π inches cubed
Cone volume = πr^2(h/3) = 100π inches cubed
Total Volume = 550π inches cubed
Answer:
Therefore, he can make 2 batches of lemonade with 1pint of lemon juice
Given:
The height of the cylinder = 12 in
The diameter of the base of the cylinder = 8 in.
To find:
The volume of the cylinder.
Solution:
The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,


So, the radius of the base of the cylinder is 4 in.
The height of the cylinder, h = 12 in.
Base area of the cylinder is:

Where, B is the base area and r is the radius.


So, the base area is
square inches.
The volume of the cylinder is:


Where, r is radius, h is height, B is base area.
Putting
and
, we get


So, the volume is
cubic inches.
Therefore,
.
Without resorting to L'Hopitâl's rule,

With the rule, we get the same result:
