Question

what is the hight of a cylinder with a volume of 384tt cubic inches and a radius of 8 inches? round to the nearest tenth of an inch.​

Answer 1

Answer:

1.9 inches

Step-by-step explanation:

We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,

→ π × r² × h = 384

⇒ Substitute in 8 for 'r'

→ π × 8² × h = 384

⇒ Simplify

→ π × 64 × h = 384

⇒ Divide both sides by 64 to isolate π and h

→ π × h = 6

⇒ Divide both sides by π to isolate 'h' and find the value of the height

→ h = 1.9098593171

The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches