For every 2,3n there is 6n
Answer:
2pi/15
Step-by-step explanation:
The intersection of y=x and y=x^2 is (0,0) and (1,1)
Washer method
Prefered this method for this one since slices are perpendicular to axis of rotation
Integrate(Big circle - Small Circle)dx
Integrate(pi*(x)^2-pi*(x^2)^2)dx on x=0..1
Integrate(pi*x^2-pi*x^4)dx on x=0..1 is 2pi/15
Shells method
So I have to solve for x since I will be integrating with respect to y
The height of the the shell will be sqrt(y)-y
The radius will be y since that is the distance between axis of rotation in a point within the shell
Integrate(2*pi*r*h ) dy
Integrate(2*pi*(sqrt(y)-y)*y) dy on y=0..1 is 2pi/15
Answer:
20 cups of rice
Step-by-step explanation:
you are said that you need twice as mich water as rice
so for 10 cups of rice you need 2*10 cups of water so 20
<u>Given</u>:
Given that the radius of the cylinder is 6 m.
The height of the cylinder is 7 m.
We need to determine the surface area of the cylinder.
<u>Surface area of the cylinder:</u>
The surface area of the cylinder can be determined using the formula,
where r is the radius and h is the height of the cylinder.
Substituting r = 6 and h = 7 in the above formula, we get;
Simplifying, we get;
Multiplying, we get;
Thus, the surface area of the cylinder is 489.84 square meters.
Hence, Option a is the correct answer.
Step-by-step explanation:
The slopes of two lines are equal
