IS THIS RIGHT MAN? IDK IF I DIDD IT RIGHT BUT I GUESSED SO HERE IS MY ANSWERR MAN AND YEAH MAN WELL HERE YOU GO CAUSE IM HIGH AS F**K
The rotational volume of an equation or curve rotated horizontally is equal to:
V = 2*pi* definite integral, from 0 to 1, of the given equation x^2/4 dx.
V = 2*pi / 4 * int 0 to 1, x^2 dx
V = pi / 2 * ( x^3 / 3 evaluated 0 to 1)
V = pi/2 * (1^3/3 - 0^3/3)
V = pi/6 = 0.5235987755983
The rotational volume of an equation or curve rotated vertically is equal to:
V = 2*pi* definite integral, from 0 to 2, of the given equation x^2/4 dx.
V = 2*pi / 4 * int 0 to 2, x^2 dx
V = pi / 2 * ( x^3 / 3 evaluated 0 to 2)
V = pi/2 * (2^3/3 - 0^3/3)
V = 8pi/6 = 4pi/3
V = 4.18879020478633