Answer:
1: 20
Step-by-step explanation:
9/180 set the problem as a fraction then simplify it.
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 ✓
First, let's only the expression with x stay on the let side: let's add 9 to both sides of the equation.
which is
now, let's multiply everything by 2:
so the answer is -32!
Answer:
z = 32/3
Step-by-step explanation:
Presuming all the horizontal lines are parallel, the ratios of lengths will be identical.
3/8 = 4/z
3z = 8(4)
z = 32/3
