Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓
Answer:
162
Step-by-step explanation:
9 x 6 = 54
18 x 6 = 108
108 + 54 = 162
400 divided by 10 is 40
Then you multiply 8 by 40 because you ate ate chicken nuggets
You should get 320
We have the formula S= r * theta , where S is arc length , r is radius , and theta is central angle in radians
So AB= 4 * 45* π/180 = π units
There would be 8 ones, 4 fives, 12 tens, and 4 twenties. That together would be about $228
