Answer:
Step-by-step explanation:
surface area=4 *x²+2 x²=6x²=6 ×5²=150 sq. in.
Answer:
Answer is B
Step-by-step explanation:
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = ![\frac{4}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D)
![\pi](https://tex.z-dn.net/?f=%5Cpi)
![r^{3}](https://tex.z-dn.net/?f=r%5E%7B3%7D)
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere =
x
x ![(6)^{3}](https://tex.z-dn.net/?f=%286%29%5E%7B3%7D)
=
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
Answer: 60 units²
Step-by-step explanation:
The total area of the rectangle is equal:
(4+4)*(9+3)=
8*12=
96 units²
The area of the unpainted part of the rectangle is equal:
4*9=
36 units²
The area of the shaded region is equal:
96-36=
60 units²