Answer:
area of base = 
where 'r' is the radius
Step-by-step explanation:
Volume of the cylinder formula = 
volume of cylinder = area of base * height
The base of a cylinder is a circle. so we use the area of circle for the base of cylinder while finding volume
We know area of the circle is 
So area of the base of cylinder is 
To find volume of the cylinder , we multiply the base of the cylinder with height
To determine the base of the cylinder we need radius of the cylinder
area of base = 
where 'r' is the radius
The area of all 3 lateral triangular faces will be found by using the formula for area of a triangle.
A = 1/2bh
Face 1:
1/2 x 3 x 5
A = 7.5 square cm
Face 2:
1/2 x 4 x 5
A = 10 square cm
Face 1:
1/2 x 5 x 5
A = 12.5 square cm
12.5 + 7.5 + 10 = 30 square cm
The area of the lateral faces is 30 square cm.
A=tip 1
b=tip 2
t=total tip
c-total cost
a+b=t
53+t=c
53*.06=a
53*.20=b
a=3.18
b=10.60
t=3.18+10.60
t=13.78
c=53+13.78
total cost=$66.78
Answer:

Step-by-step explanation:
Given

Quadrant III
Required
Determine 
We have:

We know that:

This gives:


Collect like terms

Take LCM and solve


Take the square roots of both sides

Sin is negative in quadrant III. So:

Calculate 

We have: 
So:


Rationalize


So, we have:



Substitute: 

Take LCM
