Respuesta :
Answer:
113.08 cm^3
Volume for sphere = 4/3 Pi 3^3
y = x^2 - (x+0) (x+0)< 3 would equal x = 1.25 and y = 2.5 max
then y = 9 and x = 0 around the y axis
We find (1.25, 2.5) (0,9)
y + 1 = 0 + 1.25 + 9
y+ 1 = 10.25
radius therefore = 3^2 = 3
and surface area = pi x 9 = 28.2743338823
= 28.27cm^2 x 4 = 113.1cm
If it is a sphere you then multiple 4/3 pi r^3 is exactly the same as 4pir^2
Step-by-step explanation:
The volume of the solid is [tex]9\pi[/tex] cubic unit.
Volume of solid :
The volume of the solid obtained by rotating the curve [tex]y=f(x)[/tex] is given as,
[tex]V=\int\limits^b_a \pi {y^{2} } \, dx[/tex]
Given that, [tex]y=x^{2} ,a=0,b=3[/tex]
Substitute above values in volume formula.
[tex]V=\int\limits^3_0 \pi{x^{2} } \, dx \\\\V=\pi(\frac{x^{3} }{3} )^{3} _{0}\\\\V=\frac{\pi}{3} (27-0)=9\pi[/tex]
Thus, the volume of the solid is [tex]9\pi[/tex] cubic unit.
Learn more about the volume here:
https://brainly.com/question/1972490
