Question

A cylinder has a height of 15 inches. Its volume is 3,014.4 cubic inches. What is the radius of the cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Answer 1

Radius = 8in

Explanation:

`\hookrightarrow \sf \: V = {\pi r}^(2) h`

Where,

• v = 3014.4
• h = 15
• π = 3.14

⇢ 3014.4 = (3.14)(r²)(15)

⇢ 3014.4 = (r²)(47.1)

⇢ 3014.4 = 47.1r²

⇢ 3014.4/47.1 = 47.1r²/47.1

⇢ 64 = r²

⇢ r = √64

⇢ r = 8

`\therefore` The value of radius is 8 inches