Question

A cylinder has a volume of 187 cubic inches. If the radius is 3 inches, what is the height of the cylinder in inches?

Someone please help

Answer 1

The height of cylinder is 6.61 inches.

Explanation:

Given that :-

• Volume of cylinder = 187 inches ³.
• Radius of cylinder, r = 3 inches

We need to Find :-

• Height of cylinder , h

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

• r is the radius of cylinder.
• h is the height of cylinder.

Solution :-

Using Formula

Volume of cylinder = π × r ² × h

Substitute the values

187 inches ³ = π × ( 3 inches ) ² × h

Using π = 3.14

187 inches ³ = 3.14 × 9 inches ² × h

multiply

187 inches ³ = 28.26 inches ² × h

Divide , we get

187 inches ³ / 28.26 = h

6.61 inches = h

Therefore, The height of cylinder is 6.61 inches.

Answer 2

Explanation:

V = pi r^2 h

V = 187

pi = 3.14

r = 3

h = ?

187 = 3.14 * 3^2 * h

187 = 3.14 * 9 * h

187 = 28.26 * h

187 / 28.26 = h

h = 6.62