volume of a cylinder problems please help

Step-by-step explanation:

Part A

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

1) radius = diameter/2 = 4/2 = 2 inches

Volume = 3.14 × 2² × 10 = 125.6 inches³

2) Volume = 3.14 × 20² × 50 = 62800 cm³

3) radius = 16/2 = 8 mm

Volume = 3.14 × 8² × 10 = 2009.6 mm³

4) Volume = 3.14 × 9² × 9 = 2289.06 ft³

Part B

The formula for determining the volume of a sphere is expressed as

Volume = 4/3πr³

Where

r represents the radius of the sphere.

5) Volume = 4/3 × 3.14 × 5³ = 523.3 cm³

6) radius = 24/2 = 12 inches

Volume = 4/3 × 3.14 × 12³ = 7234.56 inches³

7) Volume = 4/3 × 3.14 × 1³ = 4.2 ft³

8) radius = 42/2 = 21 mm

Volume = 4/3 × 3.14 × 21³ = 38772.72 mm³

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

20%

step-by-step explanation: