Answer:
8) 144pi
9) 196pi
11) 18pi
12) 298.67pi
Step-by-step explanation:
Cylinders
The volume of a cylinder is [tex]V = \pi r^{2} h[/tex], where r represents the radius of the base and h represents the height.
For the first cylinder, the radius of the base is 4 and the height is 9.
[tex]V = \pi (4)^{2} (9)\\V = \pi(16)(9)\\V = 144\pi[/tex]
For the second cylinder, the diameter is 6 and the height is 2. Since the radius is half the diameter, the radius is 3.
[tex]V = \pi (3)^{2} (2)\\V = \pi(9)(2)\\V = 18\pi[/tex]
Sphere
The volume of a sphere is [tex]V = 4\pi r^{2}[/tex], where r is the radius of the sphere.
The diameter is 14, meaning the radius must be 7.
[tex]V = 4\pi (7)^{2} \\V = 4\pi (49)\\V = 196\pi[/tex]
Cone
The volume of a cone is [tex]V = \pi r^{2} (h/3)[/tex], where r is the radius and h is the height.
The radius is 8, and the height is 14.
[tex]V = \pi (8)^{2} (14/3)\\V = \pi (64) (14/3)\\V = \frac{896}{3} \pi\\V = 298.67\pi[/tex]
