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 ✓
The answers are -4 and 3 :)
Answer:
<u>a) 100m</u>
<u>b) 2m/s</u>
Step-by-step explanation:
a)==>> <u>2+4</u>+<u>6+8</u>+10(8) = 100m
b)==>> Variable "a" = change OVER time (
) = 8m/4s = 2m/s
