Sure thing!
since y = -1 we can just plug it into the first equation
Answer:
Step-by-step explanation:
The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.
Here this comes out to A = 2π(4)(7) = 56 π units^2
If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:
A = 2πr² = 2π(4 units)² = 32π units²
2x + 3y = 10
y = -x + 3 (plug -x+3 for y in the first equation because -x+3=y)
2x+3(-x+3)=10
2x+(-3x)+9=10
-x=1
x=-1
To find y, plug in -1 for x into any of the equations. I will pick the second equation because it is easier.
y = -(-1) + 3
y=4
answer: x=-1, y=4, intersection point: (-1,4)
Answer:
5572.4533333 in^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The diameter is 22 inches, we need to find the radius
r = d/2 = 22/2 =11
V = 4/3 pi (11)^3
V =5324/3 pi
We can approximate pi by 3.14
V = 5324/3 * 3.14
=5572.4533333 in^3
To round to the nearest tenth, you would want just one number after the decimal point. You would take the number 15.839 and use that nine to round the 3 to a 4. Since four can not round 8 up to anything, your final answer will be "15.8".
