1 Answer

Impression · Answer 1 · 2022-10-03T01:12:15+0000

Answer:

8) 144pi

9) 196pi

11) 18pi

12) 298.67pi

Explanation:

The volume of a cylinder is
$V = \pi r^(2) h$ , 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.

$V = \pi (4)^(2) (9)\\V = \pi(16)(9)\\V = 144\pi$

For the second cylinder, the diameter is 6 and the height is 2. Since the radius is half the diameter, the radius is 3.

$V = \pi (3)^(2) (2)\\V = \pi(9)(2)\\V = 18\pi$

The volume of a sphere is
$V = 4\pi r^(2)$ , where r is the radius of the sphere.

The diameter is 14, meaning the radius must be 7.

$V = 4\pi (7)^(2) \\V = 4\pi (49)\\V = 196\pi$

The volume of a cone is
$V = \pi r^(2) (h/3)$ , where r is the radius and h is the height.

The radius is 8, and the height is 14.

$V = \pi (8)^(2) (14/3)\\V = \pi (64) (14/3)\\V = (896)/(3) \pi\\V = 298.67\pi$

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