How do you do this question?

π/10

Step-by-step explanation:

When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake.  Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".

Each shell has a radius x, a thickness dx, and a height y.  The volume of an individual shell is:

dV = 2π r h t

dV = 2π x y dx

Since y = x² − x³:

dV = 2π x (x² − x³) dx

dV = 2π (x³ − x⁴) dx

The total volume is the sum of all the shells from x=0 to x=1.

V = ∫ dV

V = ∫₀¹ 2π (x³ − x⁴) dx

V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹

V = 2π (¼ − ⅕)

V = π/10

18.36. give me brainliest!

step-by-step explanation:

you have to multiply 1.53 by 12 so the equation is 12x1.53 and then that is your answer.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .